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Popular >

f^'(x)=-x

Solution

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

Solution

f (x) = - \frac{x ^{2}}{2} + c_{1}

Solution steps

f^{'} (x) = - x

If

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

then

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

f (x) = \int - x d x

\int - x d x = - \frac{x ^{2}}{2} + c_{1}

f (x) = - \frac{x ^{2}}{2} + c_{1}

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\int_{0}^{1} (\frac{1}{x}) d x

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\frac{d}{d x} (89 x)

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\frac{6 x}{x + 5}

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=-x ?
The solution for f^'(x)=-x is f(x)=-(x^2)/2+c_{1}