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Popular >

derivative of f(x)=(-3x^3+3x^2)^3

Solution

derivative of

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

Solution

3 (- 3 x^{3} + 3 x^{2})^{2} (- 9 x^{2} + 6 x)

Solution steps

\frac{d}{d x} ((- 3 x^{3} + 3 x^{2})^{3})

Apply the chain rule:

3 (- 3 x^{3} + 3 x^{2})^{2} \frac{d}{d x} (- 3 x^{3} + 3 x^{2})

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

\frac{d}{d x} (- 3 x^{3} + 3 x^{2}) = - 9 x^{2} + 6 x

= 3 (- 3 x^{3} + 3 x^{2})^{2} (- 9 x^{2} + 6 x)

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(-3x^3+3x^2)^3 ?
The derivative of f(x)=(-3x^3+3x^2)^3 is 3(-3x^3+3x^2)^2(-9x^2+6x)
What is the first derivative of f(x)=(-3x^3+3x^2)^3 ?
The first derivative of f(x)=(-3x^3+3x^2)^3 is 3(-3x^3+3x^2)^2(-9x^2+6x)