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Find the Derivative - d/dx	x^2e^x+2xe^x	${\displaystyle x^2{e}^x+2x{e}^x}$	Calculus
Integrate Using Trig Substitution	integral of ( square root of 9-x^2)/(x^2) with respect to x	${\displaystyle \int \frac{\sqrt{9-x^2}}{x^2}dx}$	Calculus
Find dy/dx	4x-x^2y+y^3=10	${\displaystyle 4x-x^{2}y+y^3=10}$	Calculus
Find the Derivative - d/dx	(sin(x)+cos(x))/(e^x)	${\displaystyle \frac{\sin \left(x\right)+\cos \left(x\right)}{e^x}}$	Calculus
Evaluate the Integral	integral of (3/4x^4+3x^2+1) with respect to x	${\displaystyle \int (\frac{3}{4}{x}^4+3x^2+1)dx}$	Calculus
Find Where Increasing/Decreasing	f(x)=x/(x^2+9)	${\displaystyle f\left(x\right)=\frac{x}{x^2+9}}$	Calculus
Determine if Continuous	f(x)=8 if x<-4; -10+x^2 if -4<=x<4; 2x-2 if x>=4	${\displaystyle f\left(x\right)=\{\begin{array}{ll}8& x<-4\\ -10+x^2& -4\le x<4\\ 2x-2& x\ge 4\end{array}}$	Calculus
Find dy/dx	2x^2+y^2=4	${\displaystyle 2x^2+y^2=4}$	Calculus
Find dy/dx	y=2 square root of x	${\displaystyle y=2\sqrt{x}}$	Calculus
Find dy/dx	x^2-y^2=25	${\displaystyle x^2-y^2=25}$	Calculus
Find the Root Mean Square	y=x-2 , (2,7)	${\displaystyle y=x-2}$ , ${\displaystyle (2,7)}$	Calculus
Determine if Continuous	f(x)=x-3 if x<=-2; 4x+5 if x>-2	${\displaystyle f\left(x\right)=\{\begin{array}{ll}x-3& x\le -2\\ 4x+5& x>-2\end{array}}$	Calculus
Determine if Continuous	f(x)=x^2+1 if x<1; 2 if x=1; 7-5x if x>1	${\displaystyle f\left(x\right)=\{\begin{array}{ll}{x}^2+1& x<1\\ 2& x=1\\ 7-5x& x>1\end{array}}$	Calculus
Find the Maximum/Minimum Value	y=(x-2)^2+3	${\displaystyle y={(x-2)}^2+3}$	Calculus
Evaluate the Integral	integral from 0 to 2 of (4x+1)^3*4 with respect to x	${\displaystyle {\int }_0^2{(4x+1)}^3\cdot 4dx}$	Calculus
Find the Derivative - d/dx	(x/(x+1))^5	${\displaystyle {\left(\frac{x}{x+1}\right)}^5}$	Calculus
Evaluate the Integral	integral of (x^-3+x^-2+x^-1) with respect to x	${\displaystyle \int (x^{-3}+x^{-2}+x^{-1})dx}$	Calculus
Find dz/dx	z=e^(xy)	${\displaystyle z=e^{xy}}$	Calculus
Find the Derivative - d/dx	d/(dx)csc(x)	${\displaystyle \frac{d}{dx}\csc \left(x\right)}$	Calculus
Evaluate the Limit	limit as x approaches infinity of (x+1)/(x^2+1)	${\displaystyle \underset{x\to \infty }{lim}\frac{x+1}{x^2+1}}$	Calculus
Integrate Using u-Substitution	integral of x square root of x+1 with respect to x	${\displaystyle \int x\sqrt{x+1}dx}$	Calculus
Find the Tangent Line at (3π,0)	y=sin(sin(x)) , (3pi,0)	${\displaystyle y=\sin \left(\sin \left(x\right)\right)}$ , ${\displaystyle (3\pi ,0)}$	Calculus
Find the Antiderivative	x^n	${\displaystyle x^n}$	Calculus
Find dx/dy	y=1/x	${\displaystyle y=\frac{1}{x}}$	Calculus
Find dy/dx	y = square root of 1-x^2	${\displaystyle y=\sqrt{1-x^2}}$	Calculus
Find the Domain and Range	f(x)=5x-2 if x<1; x-7 if x>=1	${\displaystyle f\left(x\right)=\{\begin{array}{ll}5x-2& x<1\\ x-7& x\ge 1\end{array}}$	Calculus
Find Where Increasing/Decreasing	f(x)=(8-x)(x+1)^2	${\displaystyle f\left(x\right)=(8-x){(x+1)}^2}$	Calculus
Find the Derivative - d/dx	( square root of x)/(e^x)	${\displaystyle \frac{\sqrt{x}}{e^x}}$	Calculus
Find the Linearization at a=π/3	f(x)=sin(x) , a=pi/3	${\displaystyle f\left(x\right)=\sin \left(x\right)}$ , ${\displaystyle a=\frac{\pi }{3}}$	Calculus
Find the Derivative - d/dx	y=e^xcos(x)+sin(x)	${\displaystyle y=e^x\cos \left(x\right)+\sin \left(x\right)}$	Calculus
Find dy/dx	y = cube root of 1+4x	${\displaystyle y=\sqrt[3]{1+4x}}$	Calculus
Evaluate the Limit	limit as x approaches negative infinity of ( square root of 4x^2-3x)/(4x+5)	${\displaystyle \underset{x\to -\infty }{lim}\frac{\sqrt{4x^2-3x}}{4x+5}}$	Calculus
Solve the Differential Equation	(dy)/(dx)=5y	${\displaystyle \frac{dy}{dx}=5y}$	Calculus
Evaluate the Limit	limit as h approaches 0 of (2h^3-5h^2+h)/(h^4-h^2)	${\displaystyle \underset{h\to 0}{lim}\frac{2h^3-5h^2+h}{h^4-h^2}}$	Calculus
Find dy/dx	y=x^(cos(x))	${\displaystyle y=x^{\cos \left(x\right)}}$	Calculus
Find dy/dx	y=x^7	${\displaystyle y=x^7}$	Calculus
Evaluate the Limit	limit as x approaches 0 from the left of 1/x-1/(|x|)	${\displaystyle \underset{x\to 0^{-}}{lim}\frac{1}{x}-\frac{1}{\left|x\right|}}$	Calculus
Evaluate the Limit	limit as x approaches infinity of (-4x^3+5x)/(2x^3+7)	${\displaystyle \underset{x\to \infty }{lim}\frac{-4x^3+5x}{2x^3+7}}$	Calculus
Evaluate the Limit	limit as x approaches 3 of ( square root of x+6-x)/(x-3)	${\displaystyle \underset{x\to 3}{lim}\frac{\sqrt{x+6}-x}{x-3}}$	Calculus
Integrate Using u-Substitution	integral of tan(x) with respect to x	${\displaystyle \int \tan \left(x\right)dx}$	Calculus
Find dy/dx	x^4+x^2y^2+y^3=5	${\displaystyle x^4+x^2{y}^2+y^3=5}$	Calculus
Find dy/dx	y = square root of 2x+1	${\displaystyle y=\sqrt{2x+1}}$	Calculus
Find dy/dx	y = square root of x^2+9	${\displaystyle y=\sqrt{x^2+9}}$	Calculus
Solve the Differential Equation	(dy)/(dx)=-x/y	${\displaystyle \frac{dy}{dx}=-\frac{x}{y}}$	Calculus
Evaluate the Integral	integral from 1 to 4 of (2+x^2)/( square root of x) with respect to x	${\displaystyle {\int }_1^4\frac{2+x^2}{\sqrt{x}}dx}$	Calculus
Evaluate the Limit	limit as x approaches infinity of (2x(2x+1)^3(x^5-1))/(x^8(5x-1))	${\displaystyle \underset{x\to \infty }{lim}\frac{2x{(2x+1)}^3(x^5-1)}{x^8(5x-1)}}$	Calculus
Evaluate the Integral	integral from negative infinity to 0 of xe^x with respect to x	${\displaystyle {\int }_{-\infty }^{0}x{e}^{x}dx}$	Calculus
Find the Maximum/Minimum Value	f(x)=(x^2)/(x-1)	${\displaystyle f\left(x\right)=\frac{x^2}{x-1}}$	Calculus
Find the Derivative - d/dx	square root of 1+x^3	${\displaystyle \sqrt{1+x^3}}$	Calculus
Integrate By Parts	integral of x square root of x+1 with respect to x	${\displaystyle \int x\sqrt{x+1}dx}$	Calculus
Evaluate the Limit	limit as x approaches infinity of ( square root of 16x^4-3)/(2x^2+3)	${\displaystyle \underset{x\to \infty }{lim}\frac{\sqrt{16x^4-3}}{2x^2+3}}$	Calculus
Evaluate the Integral	integral from 0 to 13 of 1/( cube root of (1+2x)^2) with respect to x	${\displaystyle {\int }_0^{13}\frac{1}{\sqrt[3]{{(1+2x)}^2}}dx}$	Calculus
Find the Derivative - d/dx	cos(-x)	${\displaystyle \cos (-x)}$	Calculus
Find dy/dx	y = natural log of 3x+4y	${\displaystyle y=\ln (3x+4y)}$	Calculus
Find the Derivative - d/dx	f(0)	${\displaystyle f\left(0\right)}$	Calculus
Evaluate the Integral	e^( integral of 1/x with respect to x)	${\displaystyle e^{\int \frac{1}{x}dx}}$	Calculus
Find dy/dx	y=e^xsin(x)	${\displaystyle y=e^x\sin \left(x\right)}$	Calculus
Use Logarithmic Differentiation to Find the Derivative	y=( square root of x)^(9x)	${\displaystyle y={\left(\sqrt{x}\right)}^{9x}}$	Calculus
Find the Tangent Line at (9,3)	y = square root of x , (9,3)	${\displaystyle y=\sqrt{x}}$ , ${\displaystyle (9,3)}$	Calculus
Evaluate the Limit	limit as x approaches infinity of ( square root of 9x^6+4x^2)/(x^3-1)	${\displaystyle \underset{x\to \infty }{lim}\frac{\sqrt{9x^6+4x^2}}{x^3-1}}$	Calculus
Evaluate the Integral	integral from 15 to 35 of (x^2x) with respect to x	${\displaystyle {\int }_{15}^{35}\left(x^{2}x\right)dx}$	Calculus
Find dy/dx	x^2y^2=100	${\displaystyle x^2{y}^2=100}$	Calculus
Evaluate the Integral	integral of (x^2-x)/(1+3x^2-2x^3) with respect to x	${\displaystyle \int \frac{x^2-x}{1+3x^2-2x^3}dx}$	Calculus
Find the Tangent Line at (2π,0)	y=sin(sin(x)) , (2pi,0)	${\displaystyle y=\sin \left(\sin \left(x\right)\right)}$ , ${\displaystyle (2\pi ,0)}$	Calculus
Find the Critical Points	f(x)=x square root of x-a	${\displaystyle f\left(x\right)=x\sqrt{x-a}}$	Calculus
Find the Maximum/Minimum Value	f(x)=x^3-x	${\displaystyle f\left(x\right)=x^3-x}$	Calculus
Solve the Differential Equation	(dy)/(dx)=y/x	${\displaystyle \frac{dy}{dx}=\frac{y}{x}}$	Calculus
Find the Derivative - d/dθ	2sin(theta)	${\displaystyle 2\sin \left(\theta \right)}$	Calculus
Find dy/dx	natural log of 2x+y=x+1	${\displaystyle \ln (2x+y)=x+1}$	Calculus
Find dy/dx	y=2/x	${\displaystyle y=\frac{2}{x}}$	Calculus
Find the Derivative - d/dx	x^2+xy+y^2	${\displaystyle x^2+xy+y^2}$	Calculus
Evaluate the Integral	integral of (6/( square root of x)+6 square root of x) with respect to x	${\displaystyle \int (\frac{6}{\sqrt{x}}+6\sqrt{x})dx}$	Calculus
Find dy/dx	y = square root of x^2+11	${\displaystyle y=\sqrt{x^2+11}}$	Calculus
Find the Derivative - d/dx	d/(dx)( fifth root of x^2)	${\displaystyle \frac{d}{dx}\left(\sqrt[5]{x^2}\right)}$	Calculus
Find dy/dx	x^2+2xy=y^2	${\displaystyle x^2+2xy=y^2}$	Calculus
Determine if Continuous	f(x)=(x^2-4)/(x-2) if x<2; ax^2-bx+1 if 2<=x<3; 4x-a+b if x>=3	${\displaystyle f\left(x\right)=\{\begin{array}{ll}\frac{x^2-4}{x-2}& x<2\\ a{x}^2-bx+1& 2\le x<3\\ 4x-a+b& x\ge 3\end{array}}$	Calculus
Find dy/dx	y=x^2cos(x)	${\displaystyle y=x^2\cos \left(x\right)}$	Calculus
Find dy/dx	e^(xy)=6y	${\displaystyle e^{xy}=6y}$	Calculus
Evaluate the Integral	integral from negative infinity to infinity of e^(-x^2) with respect to x	${\displaystyle {\int }_{-\infty }^{\infty }{e}^{-x^2}dx}$	Calculus
Evaluate the Integral	integral from 1 to 8 of ((x^(-1/2))/(1+x^(1/2))) with respect to x	${\displaystyle {\int }_1^8\left(\frac{x^{-\frac{1}{2}}}{1+x^{\frac{1}{2}}}\right)dx}$	Calculus
Find the Maximum/Minimum Value	f(x)=x(x+3)	${\displaystyle f\left(x\right)=x(x+3)}$	Calculus
Find the Domain and Range	f(x)=-3x+5 if x<1; 3x-1 if x>=1	${\displaystyle f\left(x\right)=\{\begin{array}{ll}-3x+5& x<1\\ 3x-1& x\ge 1\end{array}}$	Calculus
Find dy/dx	square root of x+y+xy=21	${\displaystyle \sqrt{x+y}+xy=21}$	Calculus
Evaluate the Integral	integral of (3x^2+2x-1) with respect to x	${\displaystyle \int (3x^2+2x-1)dx}$	Calculus
Find dy/dx	x^3+y^3=8xy	${\displaystyle x^3+y^3=8xy}$	Calculus
Integrate Using u-Substitution	integral of x^2(1-x^3) with respect to x	${\displaystyle \int x^2(1-x^3)dx}$	Calculus
Evaluate the Integral	integral from 1 to 4 of (x-1) with respect to x	${\displaystyle {\int }_1^4(x-1)dx}$	Calculus
Use Logarithmic Differentiation to Find the Derivative	y=x^( natural log of x)	${\displaystyle y=x^{\ln \left(x\right)}}$	Calculus
Find the Third Derivative	2x^3-3x^2+6x-1	${\displaystyle 2x^3-3x^2+6x-1}$	Calculus
Find dy/dx	sin(x^2y^2)=x	${\displaystyle \sin \left(x^2{y}^2\right)=x}$	Calculus
Find dy/dx	x^(1/2)+y^(1/2)=16	${\displaystyle x^{\frac{1}{2}}+y^{\frac{1}{2}}=16}$	Calculus
Evaluate the Limit	limit as x approaches infinity of x/(x^2+1)	${\displaystyle \underset{x\to \infty }{lim}\frac{x}{x^2+1}}$	Calculus
Find the Derivative - d/dx	x*e^(-x)	${\displaystyle x\cdot e^{-x}}$	Calculus
Find the Derivative - d/dθ	2cos(theta)	${\displaystyle 2\cos \left(\theta \right)}$	Calculus
Evaluate the Integral	integral from 0 to 0.6 of (x^2)/( square root of 9-25x^2) with respect to x	${\displaystyle {\int }_0^{0.6}\frac{x^2}{\sqrt{9-25x^2}}dx}$	Calculus
Find the Derivative - d/dθ	2theta	${\displaystyle 2\theta }$	Calculus
Find the Derivative - d/dx	-1/(4x^(3/2))	${\displaystyle -\frac{1}{4x^{\frac{3}{2}}}}$	Calculus
Find dy/dt	y=tan( square root of 5t)	${\displaystyle y=\tan \left(\sqrt{5t}\right)}$	Calculus
Evaluate the Integral	integral of 1/2e^(2x) with respect to x	${\displaystyle \int \frac{1}{2}{e}^{2x}dx}$	Calculus
Find dy/dx	e^(xy)=2y	${\displaystyle e^{xy}=2y}$	Calculus