# Math Help - compute derivatives

1. ## compute derivatives

a mystery function $L: (0,\infty) \rightarrow \mathbb{R}$ and you are told that
L'(x)=1/x for all x > 0:
Use this to compute the derivatives of the following functions:
(a) f(x) = L(2x + 3) when x > 0;
(b) g(x) = (L(x2))3 when x > 0;
(c) h(x) = L(L(x)) when L(x) > 0 and x > 0.
Make sure you justify all your steps.

2. Originally Posted by tsang
a mystery function $L: (0,\infty) \rightarrow \mathbb{R}$ and you are told that
L'(x)=1/x for all x > 0:
Use this to compute the derivatives of the following functions:
(a) f(x) = L(2x + 3) when x > 0;
(b) g(x) = (L(x2))3 when x > 0;
(c) h(x) = L(L(x)) when L(x) > 0 and x > 0.
Make sure you justify all your steps.