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Popular >

derivative of (8-2x^3)^3

Solution

derivative of

(8 - 2 x^{3})^{3}

Solution

- 18 x^{2} (8 - 2 x^{3})^{2}

Solution steps

\frac{d}{d x} ((8 - 2 x^{3})^{3})

Apply the chain rule:

3 (8 - 2 x^{3})^{2} \frac{d}{d x} (8 - 2 x^{3})

= 3 (8 - 2 x^{3})^{2} \frac{d}{d x} (8 - 2 x^{3})

\frac{d}{d x} (8 - 2 x^{3}) = - 6 x^{2}

= 3 (8 - 2 x^{3})^{2} (- 6 x^{2})

Simplify

= - 18 x^{2} (8 - 2 x^{3})^{2}

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x \to 0 lim (\frac{x - 2}{x})

Frequently Asked Questions (FAQ)

What is the derivative of (8-2x^3)^3 ?
The derivative of (8-2x^3)^3 is -18x^2(8-2x^3)^2
What is the first derivative of (8-2x^3)^3 ?
The first derivative of (8-2x^3)^3 is -18x^2(8-2x^3)^2