What is the derivative of (9-2x^3)^3 ?

The derivative of (9-2x^3)^3 is -18x^2(9-2x^3)^2

What is the first derivative of (9-2x^3)^3 ?

The first derivative of (9-2x^3)^3 is -18x^2(9-2x^3)^2

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derivative of

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

- 18 x^{2} (9 - 2 x^{3})^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 18 x^{2} (9 - 2 x^{3})^{2}

\frac{d}{d x} (x^{r})

\frac{d}{d x} (e^{x^{2} - y^{2}} sin (2 x y))

\int cos (1 - x) d x

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

y = 4 x - 1, (1, - 4)

What is the derivative of (9-2x^3)^3 ?
The derivative of (9-2x^3)^3 is -18x^2(9-2x^3)^2
What is the first derivative of (9-2x^3)^3 ?
The first derivative of (9-2x^3)^3 is -18x^2(9-2x^3)^2