How do you differentiate #p(y) = y^2sin^2(y)cos(y)# using the product rule?
1 Answer
Consider two of the three functions forming p(y) as a single function, and then use the product rule a second time when calculating its derivative.
Explanation:
The product rule states that
Additionally, let's let
We now have
Applying the product rule gives us
But to calculate
Then, substituting for
Putting it all together gives us