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Popular Calculus Problems

(\partial)/(\partial x)(ln(x/y+y/x))	\frac{\partial\:}{\partial\:x}(\ln(\frac{x}{y}+\frac{y}{x}))
derivative of ln(sin(7x))	\frac{d}{dx}(\ln(\sin(7x)))
derivative of-x^2-2x+3	\frac{d}{dx}(-x^{2}-2x+3)
(dy)/(dx)=(y+1)^{-1}	\frac{dy}{dx}=(y+1)^{-1}
derivative of 4e^x+8/(\sqrt[3]{x})	\frac{d}{dx}(4e^{x}+\frac{8}{\sqrt[3]{x}})
limit as x approaches 0 of ln^4(x)x	\lim\:_{x\to\:0}(\ln^{4}(x)x)
taylor 1/(1-x),2	taylor\:\frac{1}{1-x},2
derivative of x^2e^{kx}	\frac{d}{dx}(x^{2}e^{kx})
(\partial)/(\partial x)(ln(4)e^x)	\frac{\partial\:}{\partial\:x}(\ln(4)e^{x})
4x^2y^'=y^'+9xe^{-y}	4x^{2}\cdot\:y^{\prime\:}=y^{\prime\:}+9x\cdot\:e^{-y}
(\partial)/(\partial x)(x^{13})	\frac{\partial\:}{\partial\:x}(x^{13})
(\partial)/(\partial x)(ycos(x^2+y^2))	\frac{\partial\:}{\partial\:x}(y\cos(x^{2}+y^{2}))
derivative of (-1/(1-x))	\frac{d}{dx}(\frac{-1}{1-x})
derivative of x/(1+sqrt(1-x^2))	\frac{d}{dx}(\frac{x}{1+\sqrt{1-x^{2}}})
integral of (1100x)/(x^2+80)	\int\:\frac{1100x}{x^{2}+80}dx
tangent of f(x)=sqrt(x),(64,8)	tangent\:f(x)=\sqrt{x},(64,8)
(\partial)/(\partial x)(cos(x-y))	\frac{\partial\:}{\partial\:x}(\cos(x-y))
derivative of f(x)=sqrt(2x+4)	derivative\:f(x)=\sqrt{2x+4}
integral of 2x(x^2+9)^7	\int\:2x(x^{2}+9)^{7}dx
integral of 5/(sqrt(9x^2-16))	\int\:\frac{5}{\sqrt{9x^{2}-16}}dx
derivative of f(x)=6x^3+7	derivative\:f(x)=6x^{3}+7
integral of 6e^{6x}sin(e^{6x})	\int\:6e^{6x}\sin(e^{6x})dx
integral of 1/(4y^2)	\int\:\frac{1}{4y^{2}}dy
tangent of (sqrt(x)+1)/(sqrt(x)+3)	tangent\:\frac{\sqrt{x}+1}{\sqrt{x}+3}
derivative of y=(2x^2+3)(4x-3)	derivative\:y=(2x^{2}+3)(4x-3)
derivative of (sqrt(x))/(6+x)	derivative\:\frac{\sqrt{x}}{6+x}
tangent of 9x-2x^2	tangent\:9x-2x^{2}
derivative of 2tan(x+2tan^3(x))	\frac{d}{dx}(2\tan(x)+2\tan^{3}(x))
inverse oflaplace (4s-1)/(s^2(s+1)^3)	inverselaplace\:\frac{4s-1}{s^{2}(s+1)^{3}}
limit as x approaches+5 of (x+1)/(x-5)	\lim\:_{x\to\:+5}(\frac{x+1}{x-5})
derivative of (sqrt(x)^{3x})	\frac{d}{dx}((\sqrt{x})^{3x})
integral of 1/((4x+1)^3)	\int\:\frac{1}{(4x+1)^{3}}dx
y*(dy)/(dx)-x=5y^2	y\cdot\:\frac{dy}{dx}-x=5y^{2}
derivative of ln((x^2-1^3))	\frac{d}{dx}(\ln((x^{2}-1)^{3}))
(\partial)/(\partial x)(-xsin(y))	\frac{\partial\:}{\partial\:x}(-x\sin(y))
inverse oflaplace 1/(s(s^2+0.2s+1))	inverselaplace\:\frac{1}{s(s^{2}+0.2s+1)}
derivative of (25-x^2^{1/2})	\frac{d}{dx}((25-x^{2})^{\frac{1}{2}})
f(x)= 1/(2x^6)	f(x)=\frac{1}{2x^{6}}
sum from n=1 to infinity of cos^2(n)	\sum\:_{n=1}^{\infty\:}\cos^{2}(n)
derivative of sqrt(y)-xln(y+x)	\frac{d}{dx}(\sqrt{y}-x\ln(y+x))
integral of 3/(x^2+2)-x^2	\int\:\frac{3}{x^{2}+2}-x^{2}dx
(\partial)/(\partial x)(3x-sqrt(2y^2+z^2))	\frac{\partial\:}{\partial\:x}(3x-\sqrt{2y^{2}+z^{2}})
derivative of 2-(x^2/2)	\frac{d}{dx}(2-\frac{x^{2}}{2})
integral of (e^x)/(sqrt(e^x+1+1))	\int\:\frac{e^{x}}{\sqrt{e^{x}+1+1}}dx
(\partial)/(\partial y)(x^4-2y^3)	\frac{\partial\:}{\partial\:y}(x^{4}-2y^{3})
derivative of x-2arctan(x)	\frac{d}{dx}(x-2\arctan(x))
derivative of sqrt(4x^2+1)	\frac{d}{dx}(\sqrt{4x^{2}+1})
derivative of sin(4x+1)	\frac{d}{dx}(\sin(4x+1))
normal of cos(t)+tsin(t),\at t=0	normal\:\cos(t)+t\sin(t),\at\:t=0
(dy)/(dx)=(x^2+y^2-xy)/(x^2)	\frac{dy}{dx}=\frac{x^{2}+y^{2}-xy}{x^{2}}
integral of ln(ax)	\int\:\ln(ax)dx
integral of (18)/((81x^2+1)^2)	\int\:\frac{18}{(81x^{2}+1)^{2}}dx
laplacetransform x*e^{(-4x)}	laplacetransform\:x\cdot\:e^{(-4x)}
slope ofintercept (-7.2)(9.6)	slopeintercept\:(-7.2)(9.6)
integral from 1 to 2 of 4/(x^3+4x)	\int\:_{1}^{2}\frac{4}{x^{3}+4x}dx
derivative of csc(8x)	\frac{d}{dx}(\csc(8x))
integral of csc((ax)/b)*cot((ax)/b)	\int\:\csc(\frac{ax}{b})\cdot\:\cot(\frac{ax}{b})dx
f(x)=4x-3	f(x)=4x-3
integral from 0 to 2 of e^{-2x}+4	\int\:_{0}^{2}e^{-2x}+4dx
derivative of 6/(sqrt(2x+1))	\frac{d}{dx}(\frac{6}{\sqrt{2x+1}})
derivative of tan^3(x)	derivative\:\tan^{3}(x)
derivative of (150/x)	\frac{d}{dx}(\frac{150}{x})
(dy)/(dx)=4x	\frac{dy}{dx}=4x
laplacetransform e^1	laplacetransform\:e^{1}
derivative of-sinh(x)	\frac{d}{dx}(-\sinh(x))
integral of 1/(-x)	\int\:\frac{1}{-x}dx
y^'-3/2 y=3+2e^t	y^{\prime\:}-\frac{3}{2}y=3+2e^{t}
(\partial)/(\partial x)(x^2-4xy+4y^2+2)	\frac{\partial\:}{\partial\:x}(x^{2}-4xy+4y^{2}+2)
area x,1,(x^2)/4	area\:x,1,\frac{x^{2}}{4}
tangent of y=600-(x^2)/(121)	tangent\:y=600-\frac{x^{2}}{121}
x^'=x-x^2	x^{\prime\:}=x-x^{2}
derivative of e^{2x}+e^{-2x}	\frac{d}{dx}(e^{2x}+e^{-2x})
integral of e^{iwt+ibt}	\int\:e^{iwt+ibt}dt
limit as x approaches 3 of x+4	\lim\:_{x\to\:3}(x+4)
limit as x approaches 1 of (x^n-1)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{n}-1}{x-1})
limit as x approaches 5+of (-2)/(x^2-25)	\lim\:_{x\to\:5+}(\frac{-2}{x^{2}-25})
integral of x^2(x+3)	\int\:x^{2}(x+3)dx
slope of x^2+y^2=25,(4,3)	slope\:x^{2}+y^{2}=25,(4,3)
(\partial)/(\partial x)(4z^5+x^4y-y^5x)	\frac{\partial\:}{\partial\:x}(4z^{5}+x^{4}y-y^{5}x)
integral of (sin(t)cos(t))	\int\:(\sin(t)\cos(t))dt
limit as x approaches infinity of-4^x	\lim\:_{x\to\:\infty\:}(-4^{x})
integral of 1/((1-u^2)^{3/2)}	\int\:\frac{1}{(1-u^{2})^{\frac{3}{2}}}du
integral of 1/(sqrt(1-x))	\int\:\frac{1}{\sqrt{1-x}}dx
derivative of e^{sin(3x^2})	\frac{d}{dx}(e^{\sin(3x^{2})})
integral of xsqrt(2x-3)	\int\:x\sqrt{2x-3}dx
integral of 9tan^5(x)	\int\:9\tan^{5}(x)dx
derivative of e^{-(1/(x+1))}	derivative\:e^{-(\frac{1}{x+1})}
limit as x approaches 0 of-(1/x+1)^x	\lim\:_{x\to\:0}(-(\frac{1}{x}+1)^{x})
limit as x approaches 1-of 2+x	\lim\:_{x\to\:1-}(2+x)
derivative of (d/(dx(15e^{4x}))/(8x^2))	\frac{d}{dx}(\frac{\frac{d}{dx}(15e^{4x})}{8x^{2}})
integral of 5a^2x^6	\int\:5a^{2}x^{6}dx
sum from n=1 to infinity of (n!)/(101^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{101^{n}}
sum from n=1 to infinity of 1/(e^{2n-1)}	\sum\:_{n=1}^{\infty\:}\frac{1}{e^{2n-1}}
derivative of 1/(x^2-1/2)	derivative\:\frac{1}{x^{2}-\frac{1}{2}}
integral of (x+3)/(x^2+25)	\int\:\frac{x+3}{x^{2}+25}dx
limit as x approaches 6 of (1-x)/(6-x)	\lim\:_{x\to\:6}(\frac{1-x}{6-x})
integral from 3 to 5 of 3x	\int\:_{3}^{5}3xdx
taylor x^2	taylor\:x^{2}
y^'-9/x y=((y^4))/(x^{16)},y(1)=1	y^{\prime\:}-\frac{9}{x}y=\frac{(y^{4})}{x^{16}},y(1)=1
(1+e^x)y(dy)/(dx)=e^x	(1+e^{x})y\frac{dy}{dx}=e^{x}

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