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Popular Calculus Problems

(\partial)/(\partial u(v))((e^v)/(u(v)+v^6))	\frac{\partial\:}{\partial\:u(v)}(\frac{e^{v}}{u(v)+v^{6}})
derivative of 2/(1-2x)	\frac{d}{dx}(\frac{2}{1-2x})
(\partial)/(\partial x)(x/(2x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{x}{2x^{2}+y^{2}})
integral of x^3*e^{12x}	\int\:x^{3}\cdot\:e^{12x}dx
derivative of x^3+3x^2	derivative\:x^{3}+3x^{2}
derivative of e^{sin(2x)}+sin(e^{2x})	derivative\:e^{\sin(2x)}+\sin(e^{2x})
taylor 1/(1+x^3),0	taylor\:\frac{1}{1+x^{3}},0
derivative of 2e^{4x^2}	\frac{d}{dx}(2e^{4x^{2}})
inverse oflaplace 1/(4s^3)	inverselaplace\:\frac{1}{4s^{3}}
limit as x approaches 1 of (x-1)/(1-x)	\lim\:_{x\to\:1}(\frac{x-1}{1-x})
integral of 1/((x^2+2x+3)^2)	\int\:\frac{1}{(x^{2}+2x+3)^{2}}dx
derivative of 4/(sqrt(1-x))	\frac{d}{dx}(\frac{4}{\sqrt{1-x}})
derivative of sin(x+xcos(x))	\frac{d}{dx}(\sin(x)+x\cos(x))
laplacetransform 7t^2	laplacetransform\:7t^{2}
integral from-pi/4 to pi/4 of cos(x)	\int\:_{-\frac{π}{4}}^{\frac{π}{4}}\cos(x)dx
derivative of (6x^2+7)(x^2-1/x)	derivative\:(6x^{2}+7)(x^{2}-\frac{1}{x})
integral of (x^2-x+9)/((x^2+9)^2)	\int\:\frac{x^{2}-x+9}{(x^{2}+9)^{2}}dx
limit as x approaches-5+of (x-5)/(x+5)	\lim\:_{x\to\:-5+}(\frac{x-5}{x+5})
(dx)/(dt)=375-(3x)/(800+2t)	\frac{dx}{dt}=375-\frac{3x}{800+2t}
y^'=((y^2+xy-x^2))/(x^2)	y^{\prime\:}=\frac{(y^{2}+xy-x^{2})}{x^{2}}
derivative of 1/(3x+2)	derivative\:\frac{1}{3x+2}
derivative of 10xe^{-x}	\frac{d}{dx}(10xe^{-x})
(dy)/(dx)=(2x^3)/(y^2)	\frac{dy}{dx}=\frac{2x^{3}}{y^{2}}
integral of 17tan^2(x)sec^3(x)	\int\:17\tan^{2}(x)\sec^{3}(x)dx
derivative of (1+sec(x)/(1-sec(x)))	\frac{d}{dx}(\frac{1+\sec(x)}{1-\sec(x)})
derivative of ln(t^3)	derivative\:\ln(t^{3})
y^'=(y^2+x^2)/(2xy)	y^{\prime\:}=\frac{y^{2}+x^{2}}{2xy}
cos(x)y^'+sin(x)y=0	\cos(x)y^{\prime\:}+\sin(x)y=0
derivative of x^2+24x+c	derivative\:x^{2}+24x+c
derivative of 100x	\frac{d}{dx}(100x)
integral of (2x^3)/(x^2+1)	\int\:\frac{2x^{3}}{x^{2}+1}dx
limit as x approaches 0 of x*ln(x)	\lim\:_{x\to\:0}(x\cdot\:\ln(x))
integral of 2/(1+2x)	\int\:\frac{2}{1+2x}dx
d/(du)(u/(u+v))	\frac{d}{du}(\frac{u}{u+v})
(\partial)/(\partial x)(8yzln(x))	\frac{\partial\:}{\partial\:x}(8yz\ln(x))
limit as x approaches 0 of x^2-5	\lim\:_{x\to\:0}(x^{2}-5)
y^{''}+20y^'+200y=300	y^{\prime\:\prime\:}+20y^{\prime\:}+200y=300
integral of sin(ln(t))	\int\:\sin(\ln(t))dt
integral of (sin(sqrt(1+x)))/(sqrt(1+x))	\int\:\frac{\sin(\sqrt{1+x})}{\sqrt{1+x}}dx
derivative of sin((1-e^{2x}/(1+e^{2x)}))	\frac{d}{dx}(\sin(\frac{1-e^{2x}}{1+e^{2x}}))
integral of 2t+3	\int\:2t+3dt
xy^'+y+x=0	xy^{\prime\:}+y+x=0
area (x-3)x(x+3),3-x,0,2	area\:(x-3)x(x+3),3-x,0,2
slope of y=-(x+1/2)^2+7/2	slope\:y=-(x+\frac{1}{2})^{2}+\frac{7}{2}
integral of 3cos((npix)/3)	\int\:3\cos(\frac{nπx}{3})dx
y^'=(x^2)/(y(2+x^3))	y^{\prime\:}=\frac{x^{2}}{y(2+x^{3})}
(\partial)/(\partial x)(3e^xcos(y))	\frac{\partial\:}{\partial\:x}(3e^{x}\cos(y))
derivative of (x-4^2x^2)	\frac{d}{dx}((x-4)^{2}x^{2})
(\partial)/(\partial x)(-(9x^2)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(-\frac{9x^{2}}{x^{2}+y^{2}})
integral from 4 to 4 of e^{-x^2}	\int\:_{4}^{4}e^{-x^{2}}dx
d/(dy)(sqrt(3x+4y))	\frac{d}{dy}(\sqrt{3x+4y})
inverse oflaplace (-(16))/((5(x^2+8x+25)))	inverselaplace\:\frac{-(16)}{(5(x^{2}+8x+25))}
integral of 2/(cos(x))	\int\:\frac{2}{\cos(x)}dx
integral from-2 to cos(x) of 3t	\int\:_{-2}^{\cos(x)}3tdt
integral of x(2x+3)	\int\:x(2x+3)dx
slope of (3)(0.4)	slope\:(3)(0.4)
limit as x approaches-1-of (x+1)/(\|x+1\|)	\lim\:_{x\to\:-1-}(\frac{x+1}{\left\|x+1\right\|})
implicit (dy)/(dx),xy=45	implicit\:\frac{dy}{dx},xy=45
integral from 0 to 4 of sqrt(4-x)	\int\:_{0}^{4}\sqrt{4-x}dx
tangent of f(x)=e^x,\at x=1	tangent\:f(x)=e^{x},\at\:x=1
(dy)/(dx)y=3^x	\frac{dy}{dx}y=3^{x}
limit as x approaches 1/4 of 8x^3	\lim\:_{x\to\:\frac{1}{4}}(8x^{3})
integral of x(4x+7)^8	\int\:x(4x+7)^{8}dx
derivative of (x^2+2xln(2x))	\frac{d}{dx}((x^{2}+2x)\ln(2x))
(x-y)dx+(x-y+1)dy=0	(x-y)dx+(x-y+1)dy=0
limit as x approaches infinity+of x*+1/x	\lim\:_{x\to\:\infty\:+}(x\cdot\:+\frac{1}{x})
derivative of 1/4 (x^8+8)	derivative\:\frac{1}{4}(x^{8}+8)
(\partial)/(\partial y)(y+3xy^2-18)	\frac{\partial\:}{\partial\:y}(y+3xy^{2}-18)
derivative of f(s)=(sqrt(s))/4	derivative\:f(s)=\frac{\sqrt{s}}{4}
(\partial)/(\partial x)(x^2-2xy+3y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-2xy+3y^{2})
integral of x/(x-11)	\int\:\frac{x}{x-11}dx
derivative of f(x)=(x^3-2x+5)/(x^3)	derivative\:f(x)=\frac{x^{3}-2x+5}{x^{3}}
derivative of 9x^2+4	\frac{d}{dx}(9x^{2}+4)
integral of \sqrt[3]{xsqrt(2/x)}	\int\:\sqrt[3]{x\sqrt{\frac{2}{x}}}dx
(\partial)/(\partial y)(40x+840-40y)	\frac{\partial\:}{\partial\:y}(40x+840-40y)
integral of 2x+e^x	\int\:2x+e^{x}dx
integral of (ln(x))	\int\:(\ln(x))dx
integral of (16)/(1-cos(8x))	\int\:\frac{16}{1-\cos(8x)}dx
laplacetransform e^{-t+1}	laplacetransform\:e^{-t+1}
derivative of 1/(5x^5)	\frac{d}{dx}(\frac{1}{5x^{5}})
derivative of (-1)/(x^2)	derivative\:\frac{-1}{x^{2}}
integral of 4/(1+sqrt(5x))	\int\:\frac{4}{1+\sqrt{5x}}dx
(dy)/(dx)=-(1+y)^4,y(1)=2	\frac{dy}{dx}=-(1+y)^{4},y(1)=2
taylor 1/2 (e^x+e^{-x})	taylor\:\frac{1}{2}(e^{x}+e^{-x})
integral of \sqrt[4]{8-3x}	\int\:\sqrt[4]{8-3x}dx
derivative of 12arctan(sqrt(s))	derivative\:12\arctan(\sqrt{s})
integral from 1 to 2 of 2/((x-5)^3)	\int\:_{1}^{2}\frac{2}{(x-5)^{3}}dx
integral of 4^x-1/(3x)	\int\:4^{x}-\frac{1}{3x}dx
8(ln(y))y^'-x^9y=0	8(\ln(y))y^{\prime\:}-x^{9}y=0
integral of (3x^5+2)/(-5x^5+5x)	\int\:\frac{3x^{5}+2}{-5x^{5}+5x}dx
derivative of 4e^{sqrt(x)}	\frac{d}{dx}(4e^{\sqrt{x}})
integral of 2e^3	\int\:2e^{3}dx
derivative of a*sinh(x/a)	\frac{d}{dx}(a\cdot\:\sinh(\frac{x}{a}))
integral of 1/(4x^2+16)	\int\:\frac{1}{4x^{2}+16}dx
d/(dt)(tcos(2t))	\frac{d}{dt}(t\cos(2t))
simplify 4sqrt(x)+1/x	simplify\:4\sqrt{x}+\frac{1}{x}
xsin(x^2)y^'+y(4x^2cos(x^2)-sin(x^2))=0	x\sin(x^{2})y^{\prime\:}+y(4x^{2}\cos(x^{2})-\sin(x^{2}))=0
integral of sqrt(x^2+25)	\int\:\sqrt{x^{2}+25}dx
integral of 3/(sqrt(9-x^2))	\int\:\frac{3}{\sqrt{9-x^{2}}}dx
derivative of sqrt(2/(4x+3))	\frac{d}{dx}(\sqrt{\frac{2}{4x+3}})

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