# Consider the following function. g(t) = 4t2 − 1;  dg dt when    t = 5   (a) Use the limit definition of the derivative (algebraic method) to write an expression for the rate-of-change function of the given function. g'(t) = lim   (b) Evaluate the rate of change as indicated. dg dt when   t = 5   =

Question

Consider the following function.

g(t) = 4t2 − 1;
 dg dt
 when t = 5

(a) Use the limit definition of the derivative (algebraic method) to write an expression for the rate-of-change function of the given function.
g'(t) =
lim

(b) Evaluate the rate of change as indicated.
 dg dt
 when t = 5   =