2. Find F'(x) if F(x) =tan(3x² + 2x). Solution: U= du dx 11 dy du dy dx 11

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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Question
2. Find F'(x) if F(x) =tan(3x² + 2x).
Solution:
du
dx
3. Find if y=sin(cosx).
dx
Solution:
U=
du
dx
11
U=
4. Compute D, (sec* 2x²).
Solution.
du
dx
11
11
dy
du
dx
du
dy
dx
dy
du
dy
dx
11
11
11
11
||
Transcribed Image Text:2. Find F'(x) if F(x) =tan(3x² + 2x). Solution: du dx 3. Find if y=sin(cosx). dx Solution: U= du dx 11 U= 4. Compute D, (sec* 2x²). Solution. du dx 11 11 dy du dx du dy dx dy du dy dx 11 11 11 11 ||
A) The Chain Rule
Example: solve(√2x³+5).
Solution:
u= 2x³ +5
du
dx
11
1. Compute(+1)*
u=
Solution.
du
dx
6x²
||
BASIC CALCULUS
dy 1
du
dy
du
11
dy 3x²
dx √2x³ +5
dy
dx
11
||
NIL
||
Transcribed Image Text:A) The Chain Rule Example: solve(√2x³+5). Solution: u= 2x³ +5 du dx 11 1. Compute(+1)* u= Solution. du dx 6x² || BASIC CALCULUS dy 1 du dy du 11 dy 3x² dx √2x³ +5 dy dx 11 || NIL ||
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