Notice that this one doesn’t cancel as conveniently as the other problems did. In order to simplify this
expression, we have to multiply both the top and the bottom of the expression by (the
conjugate of the numerator).
Simplify.
The derivative is .
PRACTICE PROBLEM SET 3
Now find the derivative of the following expressions. The answers are in Chapter 19.
1.f (x) = 5x at x = 3
2.f (x) = 4x at x = −8
3.f (x) = 5x^2 at x = −1
4.f (x) = 8x^2
5.f (x) = −10x^2
6.f (x) = 20x^2 at x = a
7.f (x) = 2x^3 at x = −3