x - 6 Let F(x) = | (3- Vi+6) dt. Use F(x) in parts (a)-(d). ..... (a) Find F'(x). F'(x) = (b) Find the critical points of F. Use commas to separate values as needed. The critical point(s) of F is/are x =| (c) Find the intervals of increasing and decreasing for F. Use commas to separate the intervals as needed. Fis increasing on the interval(s) |and F is decreasing on the interval(s) (d) Find the equation of the tangent line to the graph of y = F(x) at x = 2. The tangent line to y = F(x) at x = 2 is given by

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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x - 6
Let F(x) =
| (3- Vi+6) dt. Use F(x) in parts (a)-(d).
.....
(a) Find F'(x).
F'(x) =
(b) Find the critical points of F. Use commas to separate values as needed.
The critical point(s) of F is/are x =|
(c) Find the intervals of increasing and decreasing for F. Use commas to separate the intervals as needed.
Fis increasing on the interval(s)
|and F is decreasing on the interval(s)
(d) Find the equation of the tangent line to the graph of y = F(x) at x = 2.
The tangent line to y = F(x) at x = 2 is given by
Transcribed Image Text:x - 6 Let F(x) = | (3- Vi+6) dt. Use F(x) in parts (a)-(d). ..... (a) Find F'(x). F'(x) = (b) Find the critical points of F. Use commas to separate values as needed. The critical point(s) of F is/are x =| (c) Find the intervals of increasing and decreasing for F. Use commas to separate the intervals as needed. Fis increasing on the interval(s) |and F is decreasing on the interval(s) (d) Find the equation of the tangent line to the graph of y = F(x) at x = 2. The tangent line to y = F(x) at x = 2 is given by
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