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

The derivative of (x^8-2)^3 is 24x^7(x^8-2)^2

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

The first derivative of (x^8-2)^3 is 24x^7(x^8-2)^2

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derivative of

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

24 x^{7} (x^{8} - 2)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{8} - 2) = 8 x^{7}

= 3 (x^{8} - 2)^{2} \cdot 8 x^{7}

Simplify

= 24 x^{7} (x^{8} - 2)^{2}

\frac{d}{d t} (0)

(3 x + 5)^{7}

y^{^{'}} - \frac{y}{( 100 + 4 t )} = 150

\int x \cdot cos (3 x) d x

(- 2, - 5), (- 4, 4)

What is the derivative of (x^8-2)^3 ?
The derivative of (x^8-2)^3 is 24x^7(x^8-2)^2
What is the first derivative of (x^8-2)^3 ?
The first derivative of (x^8-2)^3 is 24x^7(x^8-2)^2