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, +∞0)(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 an end pointat (t, y) =h has a critical point at (t, y) = (0,0h has a critical point at (t, y) =.(b) List the intervals on which f is increasing or decreasing, in order.h is increasingon the intervalh is decreasingon the intervalh is increasing ✔ on the interval(c) Classify the critical points and end points. (Order your answers so the x-coordinates are in order from least to greatest.)h has a relative minimum vat (x, y) =h has a relative maximum at (x, y) =h has a relative minimum✔✔ at (x, y) =Submit Answer

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, +∞0) (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 great h has an end point at (t, y) = h has a critical point at (t, y) = h has a critical point at (t, y)=( 0,0 (b) List the intervals on which f is increasing or decreasing, in order. h is increasing on the interval h is decreasing ✔ on the interval h is increasing ✔✔✔ on the interval (c) Classify the critical points and end points. (Order your answers so the x-coordinates are in order from least to greatest.) h has a relative minimum at (x, y) = Submit Answer h has a relative maximum ✔✔✔ at (x, y) = h has a relative minimum at (x, y) = |