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Popular >

f^'(x)=3(1-2x)^2

Solution

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

Solution

f (x) = 3 x - 6 x^{2} + 4 x^{3} + c_{1}

Solution steps

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

If

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

then

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

f (x) = \int 3 (1 - 2 x)^{2} d x

\int 3 (1 - 2 x)^{2} d x = 3 x - 6 x^{2} + 4 x^{3} + c_{1}

f (x) = 3 x - 6 x^{2} + 4 x^{3} + c_{1}

Graph

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Frequently Asked Questions (FAQ)

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