Answer
a. $g'(t)=8t$
b. $g'(t)=32$
Work Step by Step
a. You find the answer by taking the derivative of $g(t)=4t^2$ to do that you take the exponent (2) multiply it by the number in front (4) and then subtract one from the exponent (2) which gives you 8t.
b. You plug (4) into the new derivative to get the answer so $8(4)=32$.