If f(t) = (t² + 1)(2t - 3et), determine the first derivative of f(t). O a. (t² + 1)(2-3e¹) + (4t² - 6tet) O b. (t² + 1) + (4t² - 6tet)(2-3et) O c. (t² + 1)(2-3et) + 2(2t - 3e¹)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 38CR: Use the rules for derivatives to find the derivative of each function defined as follows. y=-7x2e-3x
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If f(t) = (t² + 1)(2t - 3et), determine the first derivative of f(t).
O a. (t² + 1)(2-3et) + (4t² - 6tet)
O b. (t² + 1) + (4t² - 6tet)(2-3e¹)
O c. (t² + 1)(2-3et) + 2(2t - 3et)
Transcribed Image Text:If f(t) = (t² + 1)(2t - 3et), determine the first derivative of f(t). O a. (t² + 1)(2-3et) + (4t² - 6tet) O b. (t² + 1) + (4t² - 6tet)(2-3e¹) O c. (t² + 1)(2-3et) + 2(2t - 3et)
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