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Popular >

derivative of f(x)=(x^3+2x-2)^4

Solution

derivative of

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

Solution

4 (x^{3} + 2 x - 2)^{3} (3 x^{2} + 2)

Solution steps

\frac{d}{d x} ((x^{3} + 2 x - 2)^{4})

Apply the chain rule:

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

= 4 (x^{3} + 2 x - 2)^{3} \frac{d}{d x} (x^{3} + 2 x - 2)

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

= 4 (x^{3} + 2 x - 2)^{3} (3 x^{2} + 2)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(x^3+2x-2)^4 ?
The derivative of f(x)=(x^3+2x-2)^4 is 4(x^3+2x-2)^3(3x^2+2)
What is the first derivative of f(x)=(x^3+2x-2)^4 ?
The first derivative of f(x)=(x^3+2x-2)^4 is 4(x^3+2x-2)^3(3x^2+2)