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Popular Calculus >

(dy)/(dx)=3x^{-4}

Solution

\frac{d y}{d x} = 3 x^{- 4}

Solution

y = - \frac{1}{x ^{3}} + c_{1}

Solution steps

\frac{d y}{d x} = 3 x^{- 4}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 3 x^{- 4}

If

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

then

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

y = \int 3 x^{- 4} d x

\int 3 x^{- 4} d x = - \frac{1}{x ^{3}} + c_{1}

y = - \frac{1}{x ^{3}} + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=3x^{-4} ?
The solution for (dy)/(dx)=3x^{-4} is y=-1/(x^3)+c_{1}