Consider the function y = f(x). f(x) = 25 – x², 0 < x < 5, x = 4 df at x = 4. dx (а) Find df dx (b) Find x = f¯1(v). f-'(v) = (c) Use part (b) to find df-1 at y = f(4). dy df-1 dy II

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the function y = f(x).
f(x) = 25 – x2, 0 < x < 5, x = 4
df
at x = 4.
dx
(а) Find
df
dx
(b) Find x = f-'(y).
f-'(y) =
(c) Use part (b) to find
df-1
at y = f(4).
dy
df-1
dy
II
Transcribed Image Text:Consider the function y = f(x). f(x) = 25 – x2, 0 < x < 5, x = 4 df at x = 4. dx (а) Find df dx (b) Find x = f-'(y). f-'(y) = (c) Use part (b) to find df-1 at y = f(4). dy df-1 dy II
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