Question

How do you differentiate `f(x)=1/(2x+5)^5` using the chain rule?

Answer 1

`-10/(2x+5)^6`

Explanation:

The equation can be rewritten as `(2x+5)^-5`.
Now, use chain rule to differentiate:

`d/dx(f(g(x)))=f'(g(x))*g'(x)`

`-5(2x+5)^-6*2`

Simplify:

`-10 * (2x+5)^-6`

`-10/(2x+5)^6`