Question

Differentiate the function

Answer 1

Answer:

$-\frac{9}{r^4}$

Step-by-step explanation:

Using Power rule

$\frac{d}{dr} (r^n)=nr^{n-1}\\-\frac{9}{r^4}$

Answer 2

The answer is F'(r) = $\mathrm {-\frac{9}{r^{4}}}$.

We can rewrite the function as :

F(r) = 3r⁻³

Now, differentiate by power rule :

F'(r) = (-3)3r⁻³⁻¹

F'(r) = -9r⁻⁴

F'(r) = -9/r⁴