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$v=2+\frac{60}{v^4}$

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Find derivatives using the quotient rule II

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Q.

v=2+\frac{60}{v^4}

Rewrite function: To find the derivative of $v$ with respect to $v$ , we need to differentiate the function $v=2+\frac{60}{v^4}$ with respect to $v$ .
Differentiate constant term: First, let's rewrite the function as $v=2+60v^{-4}$ to make differentiation easier.
Differentiate $60v^{-4}$ : Now, differentiate the constant term $2$ with respect to $v$ , which is $0$ .
Differentiate $60v^{-4}$ : Now, differentiate the constant term $2$ with respect to $v$ , which is $0$ .Next, differentiate $60v^{-4}$ with respect to $v$ using the power rule, which gives us $-240v^{-5}$ .

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