1. Use the first derivative test to identify any relative maximums and any relative minimums of the function g(t)= 3t⁵ + 5t³ + 2. Give your answers as ordered pairs, please. Also, determine where the function is increasing and decreasing.

2. Find all inflection points of the functiong(t)= 3t⁵ + 5t³ + 2 as well as identify all intervals where the function is concave up and concave down. Clearly label your answers please.