Module Question

Question

Find f'(x) for f(x) = ln(x³ + e^4x)

Answer 1

First, use the rule for ln(x):

1/(x³ + e^4x)

Then use the chain rule and find the derivative of what is inside of the parentheses:

3x² + 4e^4x

So we get:

(3x² + 4e^4x) / (x³ + e^4x)