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Popular Calculus Problems

tangent of f(x)= 5/(sqrt(x)),\at x=4	tangent\:f(x)=\frac{5}{\sqrt{x}},\at\:x=4
(log_{10}(x))^'	(\log_{10}(x))^{\prime\:}
laplacetransform 63e^{6t}	laplacetransform\:63e^{6t}
(\partial)/(\partial x)(x^4-x^2y^3)	\frac{\partial\:}{\partial\:x}(x^{4}-x^{2}y^{3})
tangent of 6-5x^3	tangent\:6-5x^{3}
6x^2y^2dx+4x^3ydy=0	6x^{2}y^{2}dx+4x^{3}ydy=0
area y=5x,x=5,y= 5/x ,x=0	area\:y=5x,x=5,y=\frac{5}{x},x=0
integral of tan^2(5x)	\int\:\tan^{2}(5x)dx
integral of 3/(x(ln(3x))^2)	\int\:\frac{3}{x(\ln(3x))^{2}}dx
derivative of y=(8x+5)^3	derivative\:y=(8x+5)^{3}
integral of bxe^{3xy}	\int\:bxe^{3xy}dy
derivative of x^{-a}	\frac{d}{dx}(x^{-a})
integral of ((x+7)/(x^2+4))	\int\:(\frac{x+7}{x^{2}+4})dx
derivative of 4/3 x	\frac{d}{dx}(\frac{4}{3}x)
integral of e^{3x}cos(8x)	\int\:e^{3x}\cos(8x)dx
integral from 0 to 1 of x^4e^{3x}	\int\:_{0}^{1}x^{4}e^{3x}dx
tangent of y=(e^x)/x ,(1,e)	tangent\:y=\frac{e^{x}}{x},(1,e)
integral of ((sin(x))^4(cos(x))^2)	\int\:((\sin(x))^{4}(\cos(x))^{2})dx
derivative of 2/(sqrt(x))	derivative\:\frac{2}{\sqrt{x}}
integral of e^xsin(e^x)cos(e^x)	\int\:e^{x}\sin(e^{x})\cos(e^{x})dx
implicit x-cos(5y)=0	implicit\:x-\cos(5y)=0
integral from 0 to pi of 19sin^2(2x)	\int\:_{0}^{π}19\sin^{2}(2x)dx
limit as x approaches 0 of ln(2x)	\lim\:_{x\to\:0}(\ln(2x))
derivative of ln((x^2(x^3+1))/(e^{2x)})	derivative\:\ln(\frac{x^{2}(x^{3}+1)}{e^{2x}})
derivative of 4+sqrt(x-7)	\frac{d}{dx}(4+\sqrt{x-7})
derivative of (x^2-3x)/(x+1)	derivative\:\frac{x^{2}-3x}{x+1}
integral of (2x^{-3}+x^{-1/2})	\int\:(2x^{-3}+x^{-\frac{1}{2}})dx
integral of csc(8x)	\int\:\csc(8x)dx
integral of (5e^{-x}-3/2)^2	\int\:(5e^{-x}-\frac{3}{2})^{2}dx
(d^2)/(dx^2)(ln(1+x))	\frac{d^{2}}{dx^{2}}(\ln(1+x))
tangent of f(x)=6e^x+x,\at x=0	tangent\:f(x)=6e^{x}+x,\at\:x=0
tangent of f(x)=2xsqrt(x),\at x=1	tangent\:f(x)=2x\sqrt{x},\at\:x=1
area y=2sqrt(x),y=2x	area\:y=2\sqrt{x},y=2x
y^{''}-y^'-2y=e^x+x	y^{\prime\:\prime\:}-y^{\prime\:}-2y=e^{x}+x
derivative of 1/9 ln(ln(x)+3)	\frac{d}{dx}(\frac{1}{9}\ln(\ln(x))+3)
x^3y^'=y	x^{3}y^{\prime\:}=y
tangent of f(x)=(2-4x^2)^5,\at x=1	tangent\:f(x)=(2-4x^{2})^{5},\at\:x=1
y^'+8(tan(8x))y=3cos(8x)	y^{\prime\:}+8(\tan(8x))y=3\cos(8x)
derivative of f(x)=x^3-4x^2-6x+8	derivative\:f(x)=x^{3}-4x^{2}-6x+8
integral of 1/x*ln(x)	\int\:\frac{1}{x}\cdot\:\ln(x)dx
tangent of y=\sqrt[3]{x},(1,1)	tangent\:y=\sqrt[3]{x},(1,1)
integral of w	\int\:wdw
integral of \sqrt[3]{x}-5x^2	\int\:\sqrt[3]{x}-5x^{2}dx
derivative of 6x^2+4	\frac{d}{dx}(6x^{2}+4)
(\partial)/(\partial x)(ln(x-8y))	\frac{\partial\:}{\partial\:x}(\ln(x-8y))
integral of 1/(8x+1)-1/(e^x(8+e^{-x))^2}	\int\:\frac{1}{8x+1}-\frac{1}{e^{x}(8+e^{-x})^{2}}dx
integral of ((x-1)^2)/(x^2+3x+4)	\int\:\frac{(x-1)^{2}}{x^{2}+3x+4}dx
integral of (4t^3-t^2+36t)/(t^2+9)	\int\:\frac{4t^{3}-t^{2}+36t}{t^{2}+9}dt
(\partial)/(\partial x)(z-xy)	\frac{\partial\:}{\partial\:x}(z-xy)
(\partial)/(\partial x)(sin(5x+6y+z))	\frac{\partial\:}{\partial\:x}(\sin(5x+6y+z))
integral of sin(5x)cos(2x)	\int\:\sin(5x)\cos(2x)dx
limit as x approaches 9+of 3/(x-9)	\lim\:_{x\to\:9+}(\frac{3}{x-9})
integral of 2sqrt(1+4x^2)	\int\:2\sqrt{1+4x^{2}}dx
derivative of x^{0.4}y^{0.6}	\frac{d}{dx}(x^{0.4}y^{0.6})
kdt=(pm-p^2)^{-1}*dp	k\cdot\:dt=(p\cdot\:m-p^{2})^{-1}\cdot\:dp
derivative of x^{sqrt(3)}	\frac{d}{dx}(x^{\sqrt{3}})
area y=3-x^2,y=6-4x	area\:y=3-x^{2},y=6-4x
limit as x approaches 2+of 2x-[x]	\lim\:_{x\to\:2+}(2x-[x])
integral of 1/(2cos(x)-3sin(x))	\int\:\frac{1}{2\cos(x)-3\sin(x)}dx
integral of (4+x^8)^8x^7	\int\:(4+x^{8})^{8}x^{7}dx
derivative of ln(((1-2x))/2)	derivative\:\ln(\frac{(1-2x)}{2})
(dy)/(dx)+3y=e^{2x}	\frac{dy}{dx}+3y=e^{2x}
sum from n=1 to infinity of x^{n-1}	\sum\:_{n=1}^{\infty\:}x^{n-1}
area 1-x^2,0,2	area\:1-x^{2},0,2
derivative of g(t)=t^3(2t^2-t^{-1})	derivative\:g(t)=t^{3}(2t^{2}-t^{-1})
area 3x^2,3x^3	area\:3x^{2},3x^{3}
tangent of y=1+2x-x^3(1.2)	tangent\:y=1+2x-x^{3}(1.2)
derivative of x^2\|x\|	\frac{d}{dx}(x^{2}\left\|x\right\|)
derivative of sqrt((x^2/(cos(x))))	\frac{d}{dx}(\sqrt{\frac{x^{2}}{\cos(x)}})
derivative of 3x^2-3/(x^4)	\frac{d}{dx}(3x^{2}-\frac{3}{x^{4}})
derivative of arctan((x+y^2))	\frac{d}{dx}(\arctan((x+y)^{2}))
limit as x approaches-1-of 5x+2p(x)	\lim\:_{x\to\:-1-}(5x+2p(x))
derivative of f(x)=(5^x)/(cos(x))	derivative\:f(x)=\frac{5^{x}}{\cos(x)}
derivative of f(x)=(x-3)(2x+1)	derivative\:f(x)=(x-3)(2x+1)
1/2 (dy)/(dx)=y+2	\frac{1}{2}\frac{dy}{dx}=y+2
(\partial)/(\partial y)(sin(x)+cos(y))	\frac{\partial\:}{\partial\:y}(\sin(x)+\cos(y))
d/(dt)((sin(t))/(1-cos(t)))	\frac{d}{dt}(\frac{\sin(t)}{1-\cos(t)})
dx+1/(y^4)dy=0	dx+\frac{1}{y^{4}}dy=0
integral from 1 to 3 of 3x^2+4x+3	\int\:_{1}^{3}3x^{2}+4x+3dx
integral from 0 to 2 of (y-2)(2y+1)	\int\:_{0}^{2}(y-2)(2y+1)dy
integral of sqrt(1+cos(pix))	\int\:\sqrt{1+\cos(πx)}dx
(\partial)/(\partial y)(cos(x)sin(y))	\frac{\partial\:}{\partial\:y}(\cos(x)\sin(y))
limit as x approaches+0 of (sin(40))/x	\lim\:_{x\to\:+0}(\frac{\sin(40)}{x})
derivative of f(x)=cos(cos(x))	derivative\:f(x)=\cos(\cos(x))
(d^4)/(dx^4)(1/(sqrt(x)))	\frac{d^{4}}{dx^{4}}(\frac{1}{\sqrt{x}})
sum from n=0 to infinity of (n+1)e^{-n}	\sum\:_{n=0}^{\infty\:}(n+1)e^{-n}
derivative of 2^{3^x}	\frac{d}{dx}(2^{3^{x}})
limit as x approaches 1 of (2x)/(x^2-1)	\lim\:_{x\to\:1}(\frac{2x}{x^{2}-1})
derivative of arctan(2t)	derivative\:\arctan(2t)
derivative of ln(24x)	\frac{d}{dx}(\ln(24x))
integral of cos^2(2x)	\int\:\cos^{2}(2x)dx
integral from 3 to infinity of 5/(x^2-x)	\int\:_{3}^{\infty\:}\frac{5}{x^{2}-x}dx
derivative of 2pisqrt(l/({g(x))})	\frac{d}{dx}(2π\sqrt{\frac{l}{{g}(x)}})
integral of (1+cot^2(θ))(csc^2(θ))	\int\:(1+\cot^{2}(θ))(\csc^{2}(θ))dθ
y^{''}+2y^'+y=1	y^{\prime\:\prime\:}+2y^{\prime\:}+y=1
y^{''}-y^'+9y=3sin(3t)	y^{\prime\:\prime\:}-y^{\prime\:}+9y=3\sin(3t)
limit as x approaches+2 of 1/2	\lim\:_{x\to\:+2}(\frac{1}{2})
d/(dt)(t^2sqrt(t))	\frac{d}{dt}(t^{2}\sqrt{t})
(d^2)/(dx^2)((x^3+4)e^x)	\frac{d^{2}}{dx^{2}}((x^{3}+4)e^{x})
taylor ln(1+9x)	taylor\:\ln(1+9x)

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