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Popular Calculus >

(dy)/(dx)=8x^{-9}

Solution

\frac{d y}{d x} = 8 x^{- 9}

Solution

y = - \frac{1}{x ^{8}} + c_{1}

Solution steps

\frac{d y}{d x} = 8 x^{- 9}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 8 x^{- 9}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int 8 x^{- 9} d x

\int 8 x^{- 9} d x = - \frac{1}{x ^{8}} + c_{1}

y = - \frac{1}{x ^{8}} + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=8x^{-9} ?
The solution for (dy)/(dx)=8x^{-9} is y=-1/(x^8)+c_{1}