What is the solution for derivative of f(x)=4x-9x^2 ?

The solution for derivative of f(x)=4x-9x^2 is f(x)=2x^2-3x^3+c_{1}

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derivative of f(x)=4x-9x^2

\frac{d}{d x} f (x) = 4 x - 9 x^{2}

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

Solution steps

\frac{df}{d x} = 4 x - 9 x^{2}

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

then

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

f (x) = \int 4 x - 9 x^{2} d x

\int 4 x - 9 x^{2} d x = 2 x^{2} - 3 x^{3} + c_{1}

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

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What is the solution for derivative of f(x)=4x-9x^2 ?
The solution for derivative of f(x)=4x-9x^2 is f(x)=2x^2-3x^3+c_{1}