Find the derivative of the following functions by first expanding or simplifying the expression. g(w)=(e^{2w}+e^{w})/(e^{w})

FobelloE

FobelloE

Answered question

2021-05-25

Find the derivative of the following functions by first expanding or simplifying the expression.
g(w)=(e2w+ew)/(ew)

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-05-26Added 97 answers

Step 1
Given,
g(w)=(e2w+ew)(ew)
First, make the given expression simpler,
g(w)=ew(ew+1)ew
=ew+1...(1)
Step 2
The derivatives of the expression in equation must be determined (1)
g(w)=ew+1
differentiate with respect to 'w' on both sides.
d(g(w))dw=ddw(ew+1)
g(w)=ddw(ew)+ddw(1)
g(w)=ew+0
Step 3
Therefore the final answer is :
g(w)=ew

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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