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Popular >

implicit x^2+7y^2=7

Solution

implicit derivative

x^{2} + 7 y^{2} = 7

Solution

\frac{d y}{d x} = - \frac{x}{7 y}

Solution steps

x^{2} + 7 y^{2} = 7

Treat

y

as

y (x)

Differentiate both sides:

2 x + 14 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{x}{7 y}

\frac{d y}{d x} = - \frac{x}{7 y}

Popular Examples

derivative of (5-cosh(x)/(9+cosh(x)))

\frac{d}{d x} (\frac{5 - cosh ( x )}{9 + cosh ( x )})

derivative of ((x-a(b-x))/(x^2))

\frac{d}{d x} (\frac{( x - a ) ( b - x )}{x ^{2}})

integral of (8e^{8s})/(3+e^{8s)}

\int \frac{8 e ^{8 s}}{3 + e ^{8 s}} d s

integral of (9e^{4t})/(1+e^{8t)}

\int \frac{9 e ^{4 t}}{1 + e ^{8 t}} d t

sum from x=1 to infinity of 6/(x^2+x)

x = 1 \sum \infty \frac{6}{x ^{2} + x}

Frequently Asked Questions (FAQ)

What is implicit x^2+7y^2=7 ?
The answer to implicit x^2+7y^2=7 is (dy)/(dx)=-x/(7y)