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Popular Calculus Problems

tangent of x^3-25x+5,\at 5	tangent\:x^{3}-25x+5,\at\:5
derivative of 3tan(4x)	\frac{d}{dx}(3\tan(4x))
integral of (x-39)/(x^2-x-12)	\int\:\frac{x-39}{x^{2}-x-12}dx
integral from 0 to 1 of (4t^3)/(1+t^4)	\int\:_{0}^{1}\frac{4t^{3}}{1+t^{4}}dt
y^{''}+9y=0,y(0)=-6,y^'(0)=-9	y^{\prime\:\prime\:}+9y=0,y(0)=-6,y^{\prime\:}(0)=-9
derivative of (-8x/((x^2-4)^2))	\frac{d}{dx}(\frac{-8x}{(x^{2}-4)^{2}})
d/(dθ)(4sin(θ))	\frac{d}{dθ}(4\sin(θ))
derivative of 16x^3-96x^2+178x-95	\frac{d}{dx}(16x^{3}-96x^{2}+178x-95)
derivative of-6/(1-6x)	\frac{d}{dx}(-\frac{6}{1-6x})
y^' 1/x y=0	y^{\prime\:}\frac{1}{x}y=0
integral of xcos(3)x^2	\int\:x\cos(3)x^{2}dx
derivative of arccos(e^{5x})	\frac{d}{dx}(\arccos(e^{5x}))
derivative of y=2sec(x)-csc(x)	derivative\:y=2\sec(x)-\csc(x)
2x^2y^'=y^'+6xe-y	2x^{2}y^{\prime\:}=y^{\prime\:}+6xe-y
limit as x approaches 0-of sqrt(x)	\lim\:_{x\to\:0-}(\sqrt{x})
area f(x)=x^2+2x,g(x)=x+2	area\:f(x)=x^{2}+2x,g(x)=x+2
integral of 2/(x^2-4)	\int\:\frac{2}{x^{2}-4}dx
(\partial)/(\partial x)((9x)/(x^2+5y))	\frac{\partial\:}{\partial\:x}(\frac{9x}{x^{2}+5y})
integral of sec((2x)/5)tan((2x)/5)	\int\:\sec(\frac{2x}{5})\tan(\frac{2x}{5})dx
derivative of ln(xtan(x))	\frac{d}{dx}(\ln(x)\tan(x))
derivative of x^4-17x^2+16	\frac{d}{dx}(x^{4}-17x^{2}+16)
integral of (ln(x)+1)e^{xln(x)}	\int\:(\ln(x)+1)e^{x\ln(x)}dx
derivative of ln((sqrt(a^2-x^2)/x))	\frac{d}{dx}(\ln(\frac{\sqrt{a^{2}-x^{2}}}{x}))
limit as x approaches 3 of sqrt(2x^2+1)	\lim\:_{x\to\:3}(\sqrt{2x^{2}+1})
derivative of 3x^2+4x+2	\frac{d}{dx}(3x^{2}+4x+2)
f(x)=sqrt(x/(x^2+4))	f(x)=\sqrt{\frac{x}{x^{2}+4}}
derivative of y=3+sqrt(9-(x-3)^2)	derivative\:y=3+\sqrt{9-(x-3)^{2}}
derivative of f(x)= 4/(5x+1)	derivative\:f(x)=\frac{4}{5x+1}
integral of (2x)/(x^2+6)	\int\:\frac{2x}{x^{2}+6}dx
5y^'=y^2	5y^{\prime\:}=y^{2}
(\partial)/(\partial x)(ln(9x^2+5y^2))	\frac{\partial\:}{\partial\:x}(\ln(9x^{2}+5y^{2}))
derivative of ln(xy)	derivative\:\ln(xy)
y^{''}+8y^'+25y=0,y(0)=3,y^'(0)=-11	y^{\prime\:\prime\:}+8y^{\prime\:}+25y=0,y(0)=3,y^{\prime\:}(0)=-11
x^6+y^5sqrt(x^7+5)y^'=0	x^{6}+y^{5}\sqrt{x^{7}+5}y^{\prime\:}=0
integral of e^{-tx}sin(x)	\int\:e^{-tx}\sin(x)dx
limit as x approaches-1 of 3x^2-1	\lim\:_{x\to\:-1}(3x^{2}-1)
integral of 1/(e^{2x)}	\int\:\frac{1}{e^{2x}}dx
(\partial)/(\partial x)(-3ycos(-9x))	\frac{\partial\:}{\partial\:x}(-3y\cos(-9x))
derivative of 2/(sqrt(4x+1))	\frac{d}{dx}(\frac{2}{\sqrt{4x+1}})
derivative of \sqrt[3]{2x-x^2}	\frac{d}{dx}(\sqrt[3]{2x-x^{2}})
derivative of 4xe^{-kx}	derivative\:4xe^{-kx}
(\partial)/(\partial x)(2xyz^2-192)	\frac{\partial\:}{\partial\:x}(2xyz^{2}-192)
integral of 1/(sqrt(ln(x)))	\int\:\frac{1}{\sqrt{\ln(x)}}dx
integral of 2cos(pix)	\int\:2\cos(πx)dx
derivative of 3x^4(2x^2-1)	derivative\:3x^{4}(2x^{2}-1)
integral of sin(x)*cos(nx)	\int\:\sin(x)\cdot\:\cos(nx)dx
derivative of 0.06x^2-0.14x+8	\frac{d}{dx}(0.06x^{2}-0.14x+8)
tangent of y=5x^2	tangent\:y=5x^{2}
integral from-1 to 1 of-x	\int\:_{-1}^{1}-xdx
(\partial)/(\partial x)(3(x-y)e^{3y+3x^2})	\frac{\partial\:}{\partial\:x}(3(x-y)e^{3y+3x^{2}})
d/(dt)(cosh(t))	\frac{d}{dt}(\cosh(t))
derivative of cot^2(cos(θ))	derivative\:\cot^{2}(\cos(θ))
derivative of (3x^2-5^4(2x^2+1)^3)	\frac{d}{dx}((3x^{2}-5)^{4}(2x^{2}+1)^{3})
derivative of f(x)=tan(sec(cos(x)))	derivative\:f(x)=\tan(\sec(\cos(x)))
derivative of tan^{sec(1/x}(1/x))	\frac{d}{dx}(\tan^{\sec(\frac{1}{x})}(\frac{1}{x}))
derivative of f(x)=x^4-6x^3	derivative\:f(x)=x^{4}-6x^{3}
derivative of ln(sqrt(x^2*e^{x^2+1)})	\frac{d}{dx}(\ln(\sqrt{x^{2}\cdot\:e^{x^{2}+1}}))
taylor (1+1/x)^{-2}	taylor\:(1+\frac{1}{x})^{-2}
tangent of f(x)=sin(x),\at x=0	tangent\:f(x)=\sin(x),\at\:x=0
derivative of (-1/(x+c))	\frac{d}{dx}(\frac{-1}{x+c})
xy^'+y=y^2ln(x)	xy^{\prime\:}+y=y^{2}\ln(x)
y^{''}-2y^'+y=2cos(t)+4sin(t),y(0)=3,y^'(0)=2	y^{\prime\:\prime\:}-2y^{\prime\:}+y=2\cos(t)+4\sin(t),y(0)=3,y^{\prime\:}(0)=2
derivative of x^6	\frac{d}{dx}(x^{6})
derivative of 1/(e^{2x})	\frac{d}{dx}(\frac{1}{e^{2x}})
slope of y=6sqrt(x)+x^2	slope\:y=6\sqrt{x}+x^{2}
integral of 1/(t^2sqrt(6-t^2))	\int\:\frac{1}{t^{2}\sqrt{6-t^{2}}}dt
limit as x approaches 0 of (tan(8x))/x	\lim\:_{x\to\:0}(\frac{\tan(8x)}{x})
integral of (sqrt(x-2))/(x+1)	\int\:\frac{\sqrt{x-2}}{x+1}dx
integral of sqrt(cos(6x))sin(6x)	\int\:\sqrt{\cos(6x)}\sin(6x)dx
integral from 0 to 1 of (6/(1+x^2))	\int\:_{0}^{1}(\frac{6}{1+x^{2}})dx
derivative of (4-x^2)	\frac{d}{dx}((4-x)^{2})
derivative of (x^x+1)^2	derivative\:(x^{x}+1)^{2}
integral of x(18x+4)	\int\:x(18x+4)dx
limit as x approaches-5 of-x^2+2x-5	\lim\:_{x\to\:-5}(-x^{2}+2x-5)
derivative of 49-x^2	\frac{d}{dx}(49-x^{2})
derivative of (cos^2(x)^2)	\frac{d}{dx}((\cos^{2}(x))^{2})
integral of 1/(sqrt(64-x^2))	\int\:\frac{1}{\sqrt{64-x^{2}}}dx
limit as x approaches-infinity of x,7	\lim\:_{x\to\:-\infty\:}(x,7)
derivative of-4/x	derivative\:-\frac{4}{x}
limit as x approaches-2 of 3x^2+4x-3	\lim\:_{x\to\:-2}(3x^{2}+4x-3)
integral of 20xe^{0.01x^2}	\int\:20xe^{0.01x^{2}}dx
tangent of 2cos(x)+3sin(x),\at x= pi/2	tangent\:2\cos(x)+3\sin(x),\at\:x=\frac{π}{2}
derivative of (ln(2x))/(2x)	derivative\:\frac{\ln(2x)}{2x}
(\partial)/(\partial x)((sin(x))/(cos(x)))	\frac{\partial\:}{\partial\:x}(\frac{\sin(x)}{\cos(x)})
derivative of y=ln(sec(5x)+tan(5x))	derivative\:y=\ln(\sec(5x)+\tan(5x))
derivative of 10sec(2xtan(2x))	\frac{d}{dx}(10\sec(2x)\tan(2x))
y^'=-(2t(1+y^2))/y	y^{\prime\:}=-\frac{2t(1+y^{2})}{y}
integral of 6x^2-2x+8	\int\:6x^{2}-2x+8dx
d/(dv)(2uv)	\frac{d}{dv}(2uv)
integral of (ln^2(3x))/x	\int\:\frac{\ln^{2}(3x)}{x}dx
integral of sin^3(11x)cos^9(11x)	\int\:\sin^{3}(11x)\cos^{9}(11x)dx
2y^{''}-5y^'-12y=0	2y^{\prime\:\prime\:}-5y^{\prime\:}-12y=0
integral from 0 to 49 of 1/(sqrt(49-x))	\int\:_{0}^{49}\frac{1}{\sqrt{49-x}}dx
derivative of xsin(5/x)	derivative\:x\sin(\frac{5}{x})
derivative of x/(1-ln(x-9))	\frac{d}{dx}(\frac{x}{1-\ln(x-9)})
xy^'-y= 5/4 xln(x)	xy^{\prime\:}-y=\frac{5}{4}x\ln(x)
tangent of y=8xarccos(x-1),\at x=1	tangent\:y=8x\arccos(x-1),\at\:x=1
derivative of (t^2+5)^2-7(t^2+5)	derivative\:(t^{2}+5)^{2}-7(t^{2}+5)
2x(dy)/(dx)-8y=x^{-8}	2x\frac{dy}{dx}-8y=x^{-8}
area 2/x , 1/2 x,1,2	area\:\frac{2}{x},\frac{1}{2}x,1,2

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