What is the derivative of (s^5-9)^2 ?

The derivative of (s^5-9)^2 is 10s^4(s^5-9)

What is the first derivative of (s^5-9)^2 ?

The first derivative of (s^5-9)^2 is 10s^4(s^5-9)

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derivative of

(s^{5} - 9)^{2}

10 s^{4} (s^{5} - 9)

Solution steps

\frac{d}{d s} ((s^{5} - 9)^{2})

Apply the chain rule:

2 (s^{5} - 9) \frac{d}{d s} (s^{5} - 9)

= 2 (s^{5} - 9) \frac{d}{d s} (s^{5} - 9)

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

= 2 (s^{5} - 9) \cdot 5 s^{4}

Simplify

= 10 s^{4} (s^{5} - 9)

What is the derivative of (s^5-9)^2 ?
The derivative of (s^5-9)^2 is 10s^4(s^5-9)
What is the first derivative of (s^5-9)^2 ?
The first derivative of (s^5-9)^2 is 10s^4(s^5-9)