  Consider the following function.g(t) = 4t2 − 1; dgdtwhen  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. dgdtwhen 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   =
Step 1

To solve (a) and (b) on limits

Step 2

Note that the constant term -1 has no... help_outlineImage Transcriptionclose(a)g() 4- g') rate of change = lim g(+h)-g(t) h h0 8th+h lim 4(t+h-4r lim h h0 h0 lim(8t+h) 8t h0 = |I fullscreen

Want to see the full answer?

See Solution

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Derivative 