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)

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Chapter2: Second-order Linear Odes
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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)
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 y'=dydx.

It is possible that a function has the form Hx=Ffx. There is a rule to differentiate such kind of

functions in one variable.

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