Answer:
C
Explanation:
We are given the two functions:

And we want to find the ratio that represents:

To do so, we will compute the derivatives of both functions.
For f, we can simply write that:

For g, we will use the chain rule:

We can let:

We can double check this by doing the composition:

Therefore, by the chain rule, we acquire that:

By substitution:

Hence, our ratio is:

Simplify:

Hence, our answer is C