Cracking The Ap Calculus ab Exam 2018

Notice that the tangent line looks as if it’s horizontal at x = 1. This means that the graph of the derivative
is zero there. Next, the curve is increasing for all other values of x, so the graph of the derivative will be
positive. As we go from left to right on the graph, notice that the slope starts out very steep, so the
derivatives are large positive numbers. As we approach x = 1, the curve starts to flatten out, so the
derivatives will approach zero but will still be positive. Then, the slope is zero at x = 1. Then the curve
gets steep again. If we sketch the derivative, we get something like the following: