23. Using mathematical induction, show that dn n [F (x) · g(x)] = D dk [f(x}] • n dn-k dxn k) dxk k=0 [(x) . dxn-k

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 60SE: Prove the conjecture made in the previous exercise.
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23. Using mathematical induction, show that
n
dr
[{(x) • g(x)] = E(")
dk
[f(x)] ·
n
dn-k
[g(x)] .
dxr
dxn-k
k=0
Transcribed Image Text:23. Using mathematical induction, show that n dr [{(x) • g(x)] = E(") dk [f(x)] · n dn-k [g(x)] . dxr dxn-k k=0
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