Question

How do you find the derivative of `f(x)= 2/(x+1)^2`?

Answer 1

`d/dx 2/(x+1)^2 = -4/(x+1)^3`

Explanation:

`f(x) = 2/(x+1)^2 = 2(x+1)^(-2)`

We can differentiate using the power rule and the chain rule:

`d/dx 2/(x+1)^2 = d/dx 2(x+1)^(-2) =2(-2)(x+1)^(-3)d/dx(x+1) =-4/(x+1)^3`