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 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
Section4.4: Derivatives Of Exponential Functions
Problem 8E: Find derivatives of the functions defined as follows. y=e-x2
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,