Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 12, ƒ(a) = 3, ƒ'(a) = 5, ƒ' (aº) = 8 Then F'(a) = and G'(a)
Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 12, ƒ(a) = 3, ƒ'(a) = 5, ƒ' (aº) = 8 Then F'(a) = and G'(a)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let F(x) = f(x) and G(x) = (f(x)).
You also know that a5 = 12, ƒ(a) = 3, ƒ'(a) = 5, ƒ' (aº) = 8
Then F'(a)
and G'(a)
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Step 1
If we consider a function y which is a function of x only. Then, the derivative of y with respect to the
variable x is written as .
It is possible that a function has the form . There is a rule to differentiate such kind of
functions in one variable.
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