Consider the function y = f(x). %3D f(x) = 81 – x², 0 s x s 9, x = 2 df at x = 2. dx (a) Find df dx (b) Find x = f-(y). f-(v) = %3D (c) Use part (b) to find df-1 at y = f(2). dy df-1 %3D dy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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DETAILS
OSCALC1 3.7.266.TUT.
Consider the function y = f(x).
%3D
f(x) = 81 – x², 0 < x < 9, x = 2
df
at x = 2.
dx
(a) Find
df
%3D
xp
(b) Find x = fv).
%3D
f-(v) =
df-1
at y = f(2).
dy
(c) Use part (b) to find
df-1
dy
D Tutorial
Transcribed Image Text:DETAILS OSCALC1 3.7.266.TUT. Consider the function y = f(x). %3D f(x) = 81 – x², 0 < x < 9, x = 2 df at x = 2. dx (a) Find df %3D xp (b) Find x = fv). %3D f-(v) = df-1 at y = f(2). dy (c) Use part (b) to find df-1 dy D Tutorial
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