How do you differentiate #f(x)= (2x^2-5)(x+1) # using the product rule?
The product rule is
Written informally, this is:
(derivative of product)=(first)x(derivative of second)+(second)x(derivative of the first).
In this case the 'first' is
The derivative of the 'first' is calculated as follows:
The derivative of the 'second' is calculated:
Using the product rule (and the derivatives worked out above) gives: