Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' = xe-*(2 – x) %3D 2. y = x?e=* f (z) = e?(sin z + cos z) ans. f'(z) = 2e² cos z 3. %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the derivative of the following exponential functions:
1.
y = e-4x
ans. y' = -4e¬4x
2.
y = x?e=*
ans. y' = xe-*(2 – x)
%3D
f (z) = e?(sin z + cos z)
ans. f'(z) = 2e² cos z
%3D
3.
Transcribed Image Text:Find the derivative of the following exponential functions: 1. y = e-4x ans. y' = -4e¬4x 2. y = x?e=* ans. y' = xe-*(2 – x) %3D f (z) = e?(sin z + cos z) ans. f'(z) = 2e² cos z %3D 3.
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