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Popular Calculus Problems

derivative of (ln(x))/(x^9)	derivative\:\frac{\ln(x)}{x^{9}}
derivative of 4e^{6x}+2x	derivative\:4e^{6x}+2x
tangent of f(x)=sqrt(32-x),\at x=7	tangent\:f(x)=\sqrt{32-x},\at\:x=7
derivative of 4sqrt(x^3)	derivative\:4\sqrt{x^{3}}
d/(dt)(3/t)	\frac{d}{dt}(\frac{3}{t})
derivative of f(x)=4tan(x)	derivative\:f(x)=4\tan(x)
derivative of 2arctan(sqrt(sin(x)))	\frac{d}{dx}(2\arctan(\sqrt{\sin(x)}))
tangent of x^2+y^2=25,(3,-4)	tangent\:x^{2}+y^{2}=25,(3,-4)
derivative of 2xe^{-2x}-3e^{x^3}	derivative\:2xe^{-2x}-3e^{x^{3}}
(\partial)/(\partial x)(3xsin(y))	\frac{\partial\:}{\partial\:x}(3x\sin(y))
(\partial)/(\partial y)(7x^{y/z})	\frac{\partial\:}{\partial\:y}(7x^{\frac{y}{z}})
y^'+(2y)/x = 2/x	y^{\prime\:}+\frac{2y}{x}=\frac{2}{x}
integral of u/(u+1)	\int\:\frac{u}{u+1}du
limit as x approaches 2 of sin(1/x-1/2)	\lim\:_{x\to\:2}(\sin(\frac{1}{x}-\frac{1}{2}))
integral of xsqrt(4x+1)	\int\:x\sqrt{4x+1}dx
f(x)=sqrt(5)x+sqrt(7x)	f(x)=\sqrt{5}x+\sqrt{7x}
(x^2+1)y^'+3x(y-1)=0,y(0)=4	(x^{2}+1)y^{\prime\:}+3x(y-1)=0,y(0)=4
integral of (x^3+1)/(x^3+x^2)	\int\:\frac{x^{3}+1}{x^{3}+x^{2}}dx
derivative of y=e^{-x}arctan(5e^x)	derivative\:y=e^{-x}\arctan(5e^{x})
derivative of x^2ln(x^2+1)	derivative\:x^{2}\ln(x^{2}+1)
implicit (dy)/(dx),y^3=x^8	implicit\:\frac{dy}{dx},y^{3}=x^{8}
integral of ((sqrt(x)+6)^4)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+6)^{4}}{2\sqrt{x}}dx
derivative of sin(-1(4x+1))	derivative\:\sin(-1(4x+1))
integral from 0 to pi/2 of sin^2(t)	\int\:_{0}^{\frac{π}{2}}\sin^{2}(t)dt
derivative of x^9ln(8x)	\frac{d}{dx}(x^{9}\ln(8x))
derivative of ln((4x^4sin(-7x)/(3x-3)))	\frac{d}{dx}(\ln(\frac{4x^{4}\sin(-7x)}{3x-3}))
derivative of 2/(x^3+c)	\frac{d}{dx}(\frac{2}{x^{3}}+c)
integral from 3 to 6 of 1/((4-x)^2)	\int\:_{3}^{6}\frac{1}{(4-x)^{2}}dx
inverse oflaplace (s^2+3)/(2s^2+5)	inverselaplace\:\frac{s^{2}+3}{2s^{2}+5}
derivative of (3/4 ^{(-4)/3})	\frac{d}{dx}((\frac{3}{4})^{\frac{-4}{3}})
(\partial)/(\partial x)(x/(x^2+y^2+1))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}+y^{2}+1})
derivative of 2\sqrt[5]{(x^3+1^2})	\frac{d}{dx}(2\sqrt[5]{(x^{3}+1)^{2}})
(\partial)/(\partial x)(x^{0.5})	\frac{\partial\:}{\partial\:x}(x^{0.5})
limit as x approaches 0 of ((2+x)^2)/x	\lim\:_{x\to\:0}(\frac{(2+x)^{2}}{x})
integral of 6/(x^3)+16x^3	\int\:\frac{6}{x^{3}}+16x^{3}dx
(\partial)/(\partial t)(e^tcos(t))	\frac{\partial\:}{\partial\:t}(e^{t}\cos(t))
integral of tan^3(x)*sec^3(x)	\int\:\tan^{3}(x)\cdot\:\sec^{3}(x)dx
tangent of 5x^37x,\at x=2	tangent\:5x^{3}7x,\at\:x=2
derivative of 2e^{-x}+e^{3x}	derivative\:2e^{-x}+e^{3x}
(\partial)/(\partial x)(ln(x^2z^2))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}z^{2}))
integral of (1+x)/(1-x)	\int\:\frac{1+x}{1-x}dx
integral of (e^x-1)^2	\int\:(e^{x}-1)^{2}dx
derivative of f(x)=a^{2x}	derivative\:f(x)=a^{2x}
8yy^'=x	8yy^{\prime\:}=x
derivative of 6/(x^5)-2/x	derivative\:\frac{6}{x^{5}}-\frac{2}{x}
(\partial)/(\partial x)(\sqrt[3]{(x+1)^2})	\frac{\partial\:}{\partial\:x}(\sqrt[3]{(x+1)^{2}})
(\partial)/(\partial x)(z^3-x^2y)	\frac{\partial\:}{\partial\:x}(z^{3}-x^{2}y)
integral of (7-3x-9x^2)	\int\:(7-3x-9x^{2})dx
derivative of (2x^2+1/(x^2+7))	\frac{d}{dx}(\frac{2x^{2}+1}{x^{2}+7})
derivative of sin(cos(2x))	\frac{d}{dx}(\sin(\cos(2x)))
sum from n=1 to infinity of 1/(5^{n-1)}	\sum\:_{n=1}^{\infty\:}\frac{1}{5^{n-1}}
(\partial)/(\partial x)(cos(y-x))	\frac{\partial\:}{\partial\:x}(\cos(y-x))
limit as x approaches-2 of 7x+12	\lim\:_{x\to\:-2}(7x+12)
integral of (ln(17x))/x	\int\:\frac{\ln(17x)}{x}dx
(\partial)/(\partial x)((x/2)^2)	\frac{\partial\:}{\partial\:x}((\frac{x}{2})^{2})
integral from 0 to 1 of ln(x)	\int\:_{0}^{1}\ln(x)dx
derivative of (2x/(7-tan(x)))	\frac{d}{dx}(\frac{2x}{7-\tan(x)})
integral from a to 2a of a-(a^3)/(x^2)	\int\:_{a}^{2a}a-\frac{a^{3}}{x^{2}}dx
parity 7ln(sec(x)+tan(x))	parity\:7\ln(\sec(x)+\tan(x))
limit as x approaches 7 of cx+8	\lim\:_{x\to\:7}(cx+8)
limit as θ approaches 0 of cot(θ)	\lim\:_{θ\to\:0}(\cot(θ))
(\partial)/(\partial y)(x^3y^5+2x^4y)	\frac{\partial\:}{\partial\:y}(x^{3}y^{5}+2x^{4}y)
(\partial)/(\partial x)(-2cos(x))	\frac{\partial\:}{\partial\:x}(-2\cos(x))
integral of 2arctan(5y)	\int\:2\arctan(5y)dy
limit as x approaches 0 of sin(5x)	\lim\:_{x\to\:0}(\sin(5x))
derivative of ((x+1(x-2))/((x-1)(x+2)))	\frac{d}{dx}(\frac{(x+1)(x-2)}{(x-1)(x+2)})
f(x)=e^{x-1}-1	f(x)=e^{x-1}-1
y^'-3y= y/x	y^{\prime\:}-3y=\frac{y}{x}
integral of 6x^2-4x	\int\:6x^{2}-4xdx
derivative of-(4e^{4/x}/(x^2))	\frac{d}{dx}(-\frac{4e^{\frac{4}{x}}}{x^{2}})
(\partial)/(\partial x)(-2e^xln(y))	\frac{\partial\:}{\partial\:x}(-2e^{x}\ln(y))
integral of (6/(5x^2)-1)	\int\:(\frac{6}{5x^{2}}-1)dx
integral of 1/((x^2+8x+17)^2)	\int\:\frac{1}{(x^{2}+8x+17)^{2}}dx
limit as x approaches 0 of (1+6x)^{4/x}	\lim\:_{x\to\:0}((1+6x)^{\frac{4}{x}})
(\partial)/(\partial x)(e^{3x^2+y}(x-y))	\frac{\partial\:}{\partial\:x}(e^{3x^{2}+y}(x-y))
y^{''}-2y^'+y=xe^x+4	y^{\prime\:\prime\:}-2y^{\prime\:}+y=xe^{x}+4
integral of (x^2(x^3-1)^{10})	\int\:(x^{2}(x^{3}-1)^{10})dx
derivative of (e^2/(x(3x-5)))	\frac{d}{dx}(\frac{e^{2}}{x(3x-5)})
integral of (3x^2+5x+3)/((x^2+1)^2)	\int\:\frac{3x^{2}+5x+3}{(x^{2}+1)^{2}}dx
derivative of f(x)=5x^2tan(1-sqrt(x))	derivative\:f(x)=5x^{2}\tan(1-\sqrt{x})
derivative of x(x^2+7)^4	derivative\:x(x^{2}+7)^{4}
tangent of 2x^3-2x^2+1	tangent\:2x^{3}-2x^{2}+1
derivative of n*ln(x)	\frac{d}{dx}(n\cdot\:\ln(x))
derivative of (3x^2-1/(6x^3+5))	\frac{d}{dx}(\frac{3x^{2}-1}{6x^{3}+5})
limit as x approaches 7+of 3/(x-7)	\lim\:_{x\to\:7+}(\frac{3}{x-7})
integral from 5 to infinity of 1/(x^2-4)	\int\:_{5}^{\infty\:}\frac{1}{x^{2}-4}dx
derivative of 1/(4x^2+2x)	\frac{d}{dx}(\frac{1}{4x^{2}+2x})
limit as x approaches 2 of 2+sqrt(3)	\lim\:_{x\to\:2}(2+\sqrt{3})
derivative of (x^3+3x^2-5x+2/3)	\frac{d}{dx}(\frac{x^{3}+3x^{2}-5x+2}{3})
y^{'''}-2y^{''}-3y^'=0	y^{\prime\:\prime\:\prime\:}-2y^{\prime\:\prime\:}-3y^{\prime\:}=0
limit as x approaches-1+of (-1)/(x^2-1)	\lim\:_{x\to\:-1+}(\frac{-1}{x^{2}-1})
integral of e^{4x}sin(x)	\int\:e^{4x}\sin(x)dx
tangent of x^2-5x+5(6.11)	tangent\:x^{2}-5x+5(6.11)
derivative of \sqrt[4]{2^{x^3-6x}+ln(x})	\frac{d}{dx}(\sqrt[4]{2^{x^{3}-6x}+\ln(x)})
integral from 1 to e^6 of 1/(x(2+ln(x)))	\int\:_{1}^{e^{6}}\frac{1}{x(2+\ln(x))}dx
derivative of csc(9x)	\frac{d}{dx}(\csc(9x))
integral from 2 to 3 of 2/(sqrt(3-x))	\int\:_{2}^{3}\frac{2}{\sqrt{3-x}}dx
integral of y/x+6x	\int\:\frac{y}{x}+6xdx
derivative of 1/x y	\frac{d}{dx}(\frac{1}{x}y)
derivative of 2e^x+4/(\sqrt[3]{x})	\frac{d}{dx}(2e^{x}+\frac{4}{\sqrt[3]{x}})

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