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Popular Calculus Problems
implicit (dy)/(dx),x^2-xy+y^2=19
implicit\:\frac{dy}{dx},x^{2}-xy+y^{2}=19
(\partial)/(\partial x)((5s-3t)/(4s+5t))
\frac{\partial\:}{\partial\:x}(\frac{5s-3t}{4s+5t})
limit as x approaches 0-of (7e^x)/(x^5)
\lim\:_{x\to\:0-}(\frac{7e^{x}}{x^{5}})
(dy)/(dx)=(xy+3x-y-3)/(xy-2x+4y-8)
\frac{dy}{dx}=\frac{xy+3x-y-3}{xy-2x+4y-8}
(3ln(x))^'
(3\ln(x))^{\prime\:}
derivative of sin(1/(x^2-5))
\frac{d}{dx}(\sin(\frac{1}{x^{2}-5}))
derivative of ln(1/(cos(x)))
\frac{d}{dx}(\ln(\frac{1}{\cos(x)}))
limit as x approaches a of 0/0
\lim\:_{x\to\:a}(\frac{0}{0})
integral of (x^2)/(x^6-4)
\int\:\frac{x^{2}}{x^{6}-4}dx
(\partial)/(\partial x)(xe^{sqrt(6xy)})
\frac{\partial\:}{\partial\:x}(xe^{\sqrt{6xy}})
integral from 0 to infinity of 2/(x^2+4)
\int\:_{0}^{\infty\:}\frac{2}{x^{2}+4}dx
(1+x^2)(dy)/(dx)+3xy=5x
(1+x^{2})\frac{dy}{dx}+3xy=5x
y^2(dy)/(dx)=1
y^{2}\frac{dy}{dx}=1
integral of xarctan(20x)
\int\:x\arctan(20x)dx
derivative of x/(x^2-2)
derivative\:\frac{x}{x^{2}-2}
integral of (3x^2+5)cos(7x)
\int\:(3x^{2}+5)\cos(7x)dx
derivative of x^7*e^x
derivative\:x^{7}\cdot\:e^{x}
(\partial)/(\partial x)(x^6y^9-x^5y^8)
\frac{\partial\:}{\partial\:x}(x^{6}y^{9}-x^{5}y^{8})
(\partial)/(\partial x)(x-1/x e^{y/x})
\frac{\partial\:}{\partial\:x}(x-\frac{1}{x}e^{\frac{y}{x}})
d/(ds)(2/(s+sqrt(s^2+4)))
\frac{d}{ds}(\frac{2}{s+\sqrt{s^{2}+4}})
(\partial)/(\partial x)(6xy-12x)
\frac{\partial\:}{\partial\:x}(6xy-12x)
(2x+4)dx+(3y-1)dy=0
(2x+4)dx+(3y-1)dy=0
limit as x approaches 0 of 1/(x+3)
\lim\:_{x\to\:0}(\frac{1}{x+3})
integral of cos^4(2x)sin(2x)
\int\:\cos^{4}(2x)\sin(2x)dx
derivative of (cos(x)/(x^2))
\frac{d}{dx}(\frac{\cos(x)}{x^{2}})
limit as x approaches-6 of-12
\lim\:_{x\to\:-6}(-12)
d/(dθ)(1-cos(θ))
\frac{d}{dθ}(1-\cos(θ))
integral of 1/(x(x-3))
\int\:\frac{1}{x(x-3)}dx
derivative of f(x)=10x^3
derivative\:f(x)=10x^{3}
integral of ((ln(x))^{34})/x
\int\:\frac{(\ln(x))^{34}}{x}dx
sum from n=1 to infinity of n/(n^2+5)
\sum\:_{n=1}^{\infty\:}\frac{n}{n^{2}+5}
(dy)/(dx)=(y+2)/(x-1)
\frac{dy}{dx}=\frac{y+2}{x-1}
derivative of e^{xln(a})
\frac{d}{dx}(e^{x\ln(a)})
derivative of y=3x(6x-5x^2)
derivative\:y=3x(6x-5x^{2})
y^{''}-y^'-12y=0
y^{\prime\:\prime\:}-y^{\prime\:}-12y=0
integral of x/(x^2+x+1)
\int\:\frac{x}{x^{2}+x+1}dx
derivative of ((3x-1/(x^2+3))^2)
\frac{d}{dx}((\frac{3x-1}{x^{2}+3})^{2})
integral from 1 to 2 of 1/t
\int\:_{1}^{2}\frac{1}{t}dt
integral of (x^2-3x+3)
\int\:(x^{2}-3x+3)dx
integral of e^x+sin(y)
\int\:e^{x}+\sin(y)dx
limit as x approaches 0 of (1+bx)^{1/x}
\lim\:_{x\to\:0}((1+bx)^{\frac{1}{x}})
integral of t^2+(2t-1)/(t^2-2t+1)
\int\:t^{2}+\frac{2t-1}{t^{2}-2t+1}dt
limit as x approaches-1 of 1/(1+x^2)
\lim\:_{x\to\:-1}(\frac{1}{1+x^{2}})
derivative of arcsin(9x+1)
derivative\:\arcsin(9x+1)
integral of 1/(x^{4/5)}
\int\:\frac{1}{x^{\frac{4}{5}}}dx
integral from 2 to infinity of 1/x
\int\:_{2}^{\infty\:}\frac{1}{x}dx
integral of-2.5-1/8 q
\int\:-2.5-\frac{1}{8}qdq
derivative of e^{sqrt(sec(x^2)})
\frac{d}{dx}(e^{\sqrt{\sec(x^{2})}})
limit as x approaches 0+of (ln(x+1))/x
\lim\:_{x\to\:0+}(\frac{\ln(x+1)}{x})
derivative of sin(3x)+cos(8x)
derivative\:\sin(3x)+\cos(8x)
(1+x^2)((dy)/(dx))-2xy=0
(1+x^{2})(\frac{dy}{dx})-2xy=0
integral from pi/2 to pi of x-sin(x)
\int\:_{\frac{π}{2}}^{π}x-\sin(x)dx
(dy)/(dx)=(3x)/(4y)
\frac{dy}{dx}=\frac{3x}{4y}
derivative of sec(3sin(2x))
derivative\:\sec(3\sin(2x))
limit as x approaches 0 of e^x-1
\lim\:_{x\to\:0}(e^{x}-1)
slope ofintercept (-3,-7),(2,3)
slopeintercept\:(-3,-7),(2,3)
integral of 1/(cos^2(s))
\int\:\frac{1}{\cos^{2}(s)}ds
derivative of (16x/((x^2+4)^2))
\frac{d}{dx}(\frac{16x}{(x^{2}+4)^{2}})
(\partial)/(\partial x)(3arctan(y/x))
\frac{\partial\:}{\partial\:x}(3\arctan(\frac{y}{x}))
integral of (sec(x)tan(x))/(sec(x)-5)
\int\:\frac{\sec(x)\tan(x)}{\sec(x)-5}dx
d/(dy)(x/y)
\frac{d}{dy}(\frac{x}{y})
area x^2-7x-24,-x^2+3x+4
area\:x^{2}-7x-24,-x^{2}+3x+4
(\partial)/(\partial y)(sqrt(x-y))
\frac{\partial\:}{\partial\:y}(\sqrt{x-y})
derivative of 6/(\sqrt[3]{x})
\frac{d}{dx}(\frac{6}{\sqrt[3]{x}})
derivative of 3ln(5x)
derivative\:3\ln(5x)
x^2+2xy+x(dy)/(dx)=0
x^{2}+2xy+x\frac{dy}{dx}=0
derivative of 3x^4-65x^3
derivative\:3x^{4}-65x^{3}
integral of 2sec^4(x)
\int\:2\sec^{4}(x)dx
integral of-(5000)/(x^2)
\int\:-\frac{5000}{x^{2}}dx
derivative of 2^x+3^x
\frac{d}{dx}(2^{x}+3^{x})
derivative of-5t(3t^8-1)^7
derivative\:-5t(3t^{8}-1)^{7}
derivative of (3x^2+5x/(sqrt(x)))
\frac{d}{dx}(\frac{3x^{2}+5x}{\sqrt{x}})
(ds}{\frac{dt)/2}=sqrt(s)
\frac{ds}{\frac{dt}{2}}=\sqrt{s}
(d^{10})/(dx^{10)}(cos(2x))
\frac{d^{10}}{dx^{10}}(\cos(2x))
t^2*(dx)/(dt)= 1/x
t^{2}\cdot\:\frac{dx}{dt}=\frac{1}{x}
derivative of 8xe^{4x}
\frac{d}{dx}(8xe^{4x})
integral of (sin^2(x))/(x^2)
\int\:\frac{\sin^{2}(x)}{x^{2}}dx
derivative of f(x)=(e^x)/(1-e^x)
derivative\:f(x)=\frac{e^{x}}{1-e^{x}}
15y^{''}-7y^'-4y=0
15y^{\prime\:\prime\:}-7y^{\prime\:}-4y=0
limit as t approaches 0 of tan(4t)
\lim\:_{t\to\:0}(\tan(4t))
integral of 2t-3sin(t)
\int\:2t-3\sin(t)dt
derivative of 6x^2-7x
\frac{d}{dx}(6x^{2}-7x)
(dy}{dx}=\frac{3y)/x
\frac{dy}{dx}=\frac{3y}{x}
integral of x^{-4}(x+1)
\int\:x^{-4}(x+1)dx
derivative of (x^2-2^2)
\frac{d}{dx}((x^{2}-2)^{2})
integral from 1 to 3 of 6/x
\int\:_{1}^{3}\frac{6}{x}dx
derivative of f(x)=4xsin(x)cos(x)
derivative\:f(x)=4x\sin(x)\cos(x)
slope of (-3,-10),(4,5)
slope\:(-3,-10),(4,5)
derivative of y=5x^4f(x)
derivative\:y=5x^{4}f(x)
20y^{''}-y^'+7y=0
20y^{\prime\:\prime\:}-y^{\prime\:}+7y=0
derivative of n/x
\frac{d}{dx}(\frac{n}{x})
derivative of ln((x+2^3))
\frac{d}{dx}(\ln((x+2)^{3}))
f^'(t)-f(t)=-8t
f^{\prime\:}(t)-f(t)=-8t
integral of e^{i6x}cos(4x)
\int\:e^{i6x}\cos(4x)dx
integral of sqrt(1+(-tan(x))^2)
\int\:\sqrt{1+(-\tan(x))^{2}}dx
(\partial)/(\partial v)(v/u)
\frac{\partial\:}{\partial\:v}(\frac{v}{u})
derivative of sqrt(1/(x^{17))}
derivative\:\sqrt{\frac{1}{x^{17}}}
integral from-2 to 0 of (x^2)/(16/3)
\int\:_{-2}^{0}\frac{x^{2}}{\frac{16}{3}}dx
limit as x approaches 1 of (x^2)/(1-x^2)
\lim\:_{x\to\:1}(\frac{x^{2}}{1-x^{2}})
d/(dt)(6t^3)
\frac{d}{dt}(6t^{3})
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