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Popular >

f^'(x)=x(x-3)

Solution

f^{^{'}} (x) = x (x - 3)

Solution

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

Solution steps

f^{'} (x) = x (x - 3)

If

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

then

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

f (x) = \int x (x - 3) d x

\int x (x - 3) d x = \frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} + c_{1}

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

Graph

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Frequently Asked Questions (FAQ)

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