What is the derivative of (2x^5-3)^8 ?

The derivative of (2x^5-3)^8 is 80x^4(2x^5-3)^7

What is the first derivative of (2x^5-3)^8 ?

The first derivative of (2x^5-3)^8 is 80x^4(2x^5-3)^7

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derivative of

(2 x^{5} - 3)^{8}

80 x^{4} (2 x^{5} - 3)^{7}

Solution steps

\frac{d}{d x} ((2 x^{5} - 3)^{8})

Apply the chain rule:

8 (2 x^{5} - 3)^{7} \frac{d}{d x} (2 x^{5} - 3)

= 8 (2 x^{5} - 3)^{7} \frac{d}{d x} (2 x^{5} - 3)

\frac{d}{d x} (2 x^{5} - 3) = 10 x^{4}

= 8 (2 x^{5} - 3)^{7} \cdot 10 x^{4}

Simplify

= 80 x^{4} (2 x^{5} - 3)^{7}

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What is the derivative of (2x^5-3)^8 ?
The derivative of (2x^5-3)^8 is 80x^4(2x^5-3)^7
What is the first derivative of (2x^5-3)^8 ?
The first derivative of (2x^5-3)^8 is 80x^4(2x^5-3)^7