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Popular Calculus >

f^'(x)=5x^2+7

Solution

f^{^{'}} (x) = 5 x^{2} + 7

Solution

f (x) = \frac{5 x ^{3}}{3} + 7 x + c_{1}

Solution steps

f^{'} (x) = 5 x^{2} + 7

If

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

then

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

f (x) = \int 5 x^{2} + 7 d x

\int 5 x^{2} + 7 d x = \frac{5 x ^{3}}{3} + 7 x + c_{1}

f (x) = \frac{5 x ^{3}}{3} + 7 x + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=5x^2+7 ?
The solution for f^'(x)=5x^2+7 is f(x)=(5x^3)/3+7x+c_{1}