Use the first derivative test to locate the relative extrema of the function in the given domain, and determine the intervals of increase and decrease. h(t) = 5t3 − 15t2 with domain [−1, +[infinity]) (a) Find the coordinates of the critical points and endpoints for the following function on the given interval. (Order your answers so the x-coordinates are in order from least to greatest.) h has at (t, y) = . h has at (t, y) = . h has at (t, y) = . (b) List the intervals on which f is increasing or decreasing, in order. h is on the interval , . h is on the interval , . h is on the interval , +[infinity] . (c) Classify the critical points and end points. (Order your answers so the x-coordinates are in order from least to greatest.) h has at (x, y) = . h has at (x, y) = . h has at (x, y) = .