What is the derivative of (9-x^3)^5 ?

The derivative of (9-x^3)^5 is -15x^2(9-x^3)^4

What is the first derivative of (9-x^3)^5 ?

The first derivative of (9-x^3)^5 is -15x^2(9-x^3)^4

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derivative of

(9 - x^{3})^{5}

- 15 x^{2} (9 - x^{3})^{4}

Solution steps

\frac{d}{d x} ((9 - x^{3})^{5})

Apply the chain rule:

5 (9 - x^{3})^{4} \frac{d}{d x} (9 - x^{3})

= 5 (9 - x^{3})^{4} \frac{d}{d x} (9 - x^{3})

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

= 5 (9 - x^{3})^{4} (- 3 x^{2})

Simplify

= - 15 x^{2} (9 - x^{3})^{4}

\int \frac{4}{5} - \frac{9}{x} d x

f (2) = 2 x^{3} - 1

\frac{d}{d x} (0.01 x^{3})

2 x^{2} + x - 7

\frac{\partial}{\partial x} (\frac{6 x}{x ^{2} + 2})

What is the derivative of (9-x^3)^5 ?
The derivative of (9-x^3)^5 is -15x^2(9-x^3)^4
What is the first derivative of (9-x^3)^5 ?
The first derivative of (9-x^3)^5 is -15x^2(9-x^3)^4