Using logarithmic differentiation, find the derivative of y 9 2x 3x² 0 x = 3 + 502² +13) +- 3³427 dy dx X 5(x²+13) 0 dy dx = x⁹5√x²+13 (9 2x + x³+27 X 5(x²+13) dy 9 2x • 2/x = 3 +56 2² +13) 2²³ +27 dx X 5(x²+13) 3x² x³+27 3 x95x²+13 9 0 X-XV/²+13 (2+52x13)+22+27) dx x³+27 X 3x² 9 5 x² +13 x³+27

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 14
Using logarithmic differentiation, find the derivative of y=
dx
9
== +
2x
5(x²+13)
9
• 2x - 2 +
dx
+
3x²
3
x³ +27
95
x+139
2x
3x²
0 0 - 05/27-13 (2+52 +13) - 3427)
dy
dx
x³+27
5(x²+13) x³+27
2x
3x²
5(x²+13) x³+27
Mark this question
95
0 or X²5X²2=13 (2+ - 2 + 15) + 232427)
dy
2x
3x²
=
dx x³+27
5(x²+13) x³+27
95/
x+13
x³+27
Transcribed Image Text:Question 14 Using logarithmic differentiation, find the derivative of y= dx 9 == + 2x 5(x²+13) 9 • 2x - 2 + dx + 3x² 3 x³ +27 95 x+139 2x 3x² 0 0 - 05/27-13 (2+52 +13) - 3427) dy dx x³+27 5(x²+13) x³+27 2x 3x² 5(x²+13) x³+27 Mark this question 95 0 or X²5X²2=13 (2+ - 2 + 15) + 232427) dy 2x 3x² = dx x³+27 5(x²+13) x³+27 95/ x+13 x³+27
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