Let z = (3x + 5)4. Find .
We can think of z as z = (y)4, where y = 3x + 5. Then
Since z = y4,
Since y = 3x + 5,
Putting this information back into the chain rule,
This is almost the answer, but since we're asked for we want to give the final answer in terms of x. We plug in 3x + 5 for y to find