What is the derivative of f(x)=(2-x^3)^2 ?

The derivative of f(x)=(2-x^3)^2 is -6x^2(2-x^3)

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

The first derivative of f(x)=(2-x^3)^2 is -6x^2(2-x^3)

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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