Which of the following is the derivative of ƒ(x) = = Select one alternative: d d ○ f'(x) = sin(2x)—— [ln(x²)] + ln(x²) — (sin(2x)) dx dx ○ f'(x) = 1 sin(2x) d d ○ f'(x) = sin(2x). − [ln(x²)] — ln(x²) —— (sin(2x)) - dx dx ○ f'(x) = In(x²)(sin(2x)) — sin(2x) [In(x²)] sin² (2x) sin(2x) ✯ [ln(x²)] — ln(x²) (sin(2x)) sin² (2x) dx −ln (x²) ?

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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Which of the following is the derivative of f(x)
Select one alternative:
d
O f'(x) = sin(2x) [In(x²)] + ln(x²) (sin(2x))
dx
○ ƒ'(x) =
○
d
○ f'(x) = sin(2x) [In(x²)] — ln(x²) (sin(2x))
dx
[In(x²)]
ƒ'(x) =
d
dx
sin(2x)
d
dx
In(x²)(sin(2x)) — sin(2x)
sin² (2x)
-
dx
1
sin(2x)
d
dx
[ln(x²)] — ln(x²) (sin(2x))
sin² (2x)
-In (x²) ?
Transcribed Image Text:Which of the following is the derivative of f(x) Select one alternative: d O f'(x) = sin(2x) [In(x²)] + ln(x²) (sin(2x)) dx ○ ƒ'(x) = ○ d ○ f'(x) = sin(2x) [In(x²)] — ln(x²) (sin(2x)) dx [In(x²)] ƒ'(x) = d dx sin(2x) d dx In(x²)(sin(2x)) — sin(2x) sin² (2x) - dx 1 sin(2x) d dx [ln(x²)] — ln(x²) (sin(2x)) sin² (2x) -In (x²) ?
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