14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x D) 3 cos ( 3x 2) sin x [By Linear Property and Product Rule] C) - x sin x 15) Find (x sin x+ cos x )'=, A) – x cos x B) x cos X D) - cos x by Chain Rule 16) Find [sin( cos x+ 2)]' = A) cos ( sinx+ 2) cos x C) D)2 B) sin(cos x+ 2) sin x D) - sin (sinx+ 2) cos x - cos ( cos x+ 2) sin x

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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14) f' (x) =(sin 3 x)'=
A) – 3(cot2 x) csc2x
C) 3(tan2 x) sec2x
By Power Rule
B) - 3 sin2 x cos x
D) 3 cos ( 3x 2) sin x
15) Find (x sin x + cos x )'=
A) – x cos x
[By Linear Property and Product Rule]
C) - x sin x
%3D
B) x cos X
D) - cos x
by Chain Rule
16) Find [sin( cos x+ 2) ]'
A) cos ( sin x+ 2) cos x
C)
D)2
B) sin(cos x+ 2) sin x
D) - sin (sin x+ 2) cos x
- cos ( cos x+ 2) sin x
Transcribed Image Text:14) f' (x) =(sin 3 x)'= A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) - 3 sin2 x cos x D) 3 cos ( 3x 2) sin x 15) Find (x sin x + cos x )'= A) – x cos x [By Linear Property and Product Rule] C) - x sin x %3D B) x cos X D) - cos x by Chain Rule 16) Find [sin( cos x+ 2) ]' A) cos ( sin x+ 2) cos x C) D)2 B) sin(cos x+ 2) sin x D) - sin (sin x+ 2) cos x - cos ( cos x+ 2) sin x
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