Find the inverse of the function and differentiate the inverse in two ways. (i) Differentiate the inverse function directly. (ii) Use f-1(x) = dx to find the derivative of the inverse. 9 f(x) = /4x +9, x 2 The inverse of f(x) is f"(x) = x20.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4.10-3:

Find the inverse of the function and differentiate the inverse in two ways.
(i) Differentiate the inverse function directly.
1
(ii) Use f-1(x) =
dx
to find the derivative of the inverse.
f(x) = V4x +9, x2 -
4
The inverse of f(x) is f (x) = x 0.
Transcribed Image Text:Find the inverse of the function and differentiate the inverse in two ways. (i) Differentiate the inverse function directly. 1 (ii) Use f-1(x) = dx to find the derivative of the inverse. f(x) = V4x +9, x2 - 4 The inverse of f(x) is f (x) = x 0.
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