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Popular Calculus >

f^'(x)=x^3+6x^2

Solution

f^{^{'}} (x) = x^{3} + 6 x^{2}

Solution

f (x) = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

Solution steps

f^{'} (x) = x^{3} + 6 x^{2}

If

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

then

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

f (x) = \int x^{3} + 6 x^{2} d x

\int x^{3} + 6 x^{2} d x = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

f (x) = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=x^3+6x^2 ?
The solution for f^'(x)=x^3+6x^2 is f(x)=(x^4)/4+2x^3+c_{1}