It crosses four times, so there are four points of inflection.
- D Notice how this limit takes the form of the definition of the derivative, which is
If we think of f (x) as sin x, then this expression gives the derivative of sin x at the point x =
.
The derivative of sin x is f ′(x) = cos x. At x = , we get f ′ = cos = −.
- B First, sketch the region.