SOLUTION
The diagram below would be very helpful in answering the question
(a) to find f'(-2), we find the slope m of the line that I have made in red.
We use the points (-1, 0) and (-3, 1) we have
Hence the answer is
(c) We should determine x, where f'(x) = 0
Now f'(x) = 0 at a where we call the maximum point. That is the highest point of the graph curved as "n" From the figure above we can see that at this point, y is 3, also tracing down to the x-axis plane, can see that x = 3
Hence the answer is x = 3