Answer
$A' = 1000(1.045^{4t})ln(1.045)$
Work Step by Step
If $f(x) = b^x$, then $f'(x) = b^xln(b)$
$A = 250(1.045)^{4t}$
Chain Rule
$A' = 250\times1.045^{4t}ln(1.045)\times4 = 1000(1.045^{4t})ln(1.045)$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 3 - Derivatives - 3.9 Derivatives of Logarithmic and Exponential Functions - 3.9 Exercises - Page 211: 29
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
