V 2x³ + 3 (x4 – 3)3

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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Use logarithmic differentiation to differentiate each function with respect to x.
You do not need to simplify or substitute for y.
Example: Express answer as dyldx-y(20/(5x-4)-(30x)/(3x^2+5)-(60x^3)/(5x^4-3))
(5х — 4)*
y =
y 3=
( )°(5xª - 3)³
3x2 + 5
In y = – 4) – 5 ln (3x² + 5) – 3 ln (5æ – 3)
4 In (5x
1 dy
20z
5
%3D4.
5x - 4
6x
5
3x2 + 5
dx
5x
4 - 3
dy
20
30х
60x³
%3D
dx
5x -4
3x2 + 5
524
3
Transcribed Image Text:Use logarithmic differentiation to differentiate each function with respect to x. You do not need to simplify or substitute for y. Example: Express answer as dyldx-y(20/(5x-4)-(30x)/(3x^2+5)-(60x^3)/(5x^4-3)) (5х — 4)* y = y 3= ( )°(5xª - 3)³ 3x2 + 5 In y = – 4) – 5 ln (3x² + 5) – 3 ln (5æ – 3) 4 In (5x 1 dy 20z 5 %3D4. 5x - 4 6x 5 3x2 + 5 dx 5x 4 - 3 dy 20 30х 60x³ %3D dx 5x -4 3x2 + 5 524 3
1.
2x3 +3
y =
(x4 – 3)
Transcribed Image Text:1. 2x3 +3 y = (x4 – 3)
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