Compute the given derivatives d/dx(ex) x=e

ruigE 2021-10-17 Answered

Compute the given derivatives ddxex=? at x=e

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Expert Answer

joshyoung05M
Answered 2021-10-18 Author has 97 answers

Step 1
We have to find
ddxex=? at x=e
Let y=ex
Taking log on both sides, we get
logy=x
Differentiate it with respect to x,
1ydydx=ddxx
dydx=y
dydx=ex...(1)
Step 2
Put x=e in (1), we get
(dydx)x=e=ee

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