(x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

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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I would like to know lf ln9x is 1/x because somebody solve the problem ln9x=1/ln9 is true or no please help me understand how they got to the answer

Step 2
Solution:
342.
√(x).
Given fx
Differentiating both side wrt x
ƒ ( x ) = ± (x² m 9x)
dx
U sin g product formula i. e
= x² ln 9x
= x² -In 9x + ln 9xx²
dx
dx
= x² x
9x²
In 9x
1 d 9x + ln 9x × 2x
In 9x dx
+ 2x ln 9x
Hence f'x
==
(uv). =
9x²
In 9x
= uv' + vu'
+ 2x ln 9x
Transcribed Image Text:Step 2 Solution: 342. √(x). Given fx Differentiating both side wrt x ƒ ( x ) = ± (x² m 9x) dx U sin g product formula i. e = x² ln 9x = x² -In 9x + ln 9xx² dx dx = x² x 9x² In 9x 1 d 9x + ln 9x × 2x In 9x dx + 2x ln 9x Hence f'x == (uv). = 9x² In 9x = uv' + vu' + 2x ln 9x
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