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11) Find [ f (x) g(x)]' =. A) [(1/x) – (In x) tan x] /sec x by Product Rule. 11) B) [(1/x) + (In x) tan x] sec x C) [(1/x) + (In x) tan x] /sec2 x D) ( sec x tan x )/x 12) Find [ f (x) / g(x) ]' =, A) [(1 /x) sec x – (In x) sec x tan x]/sec2 x C) [1/ x - 1/sec x tan x ]/sec2 x by Quotient Rule. 12) %3D B) 1 / [x sec x tan x] D) [(In x)/ x- sec x /tan2 x ] 13) Find [ f (g(x))]' = A) cos x by Chain Rule. B) tan x 13) C) cot x D) – sin x

11) Find [ f (x) g(x)]' =. A) [(1/x) – (In x) tan x] /sec x by Product Rule. 11) B) [(1/x) + (In x) tan x] sec x C) [(1/x) + (In x) tan x] /sec2 x D) ( sec x tan x )/x 12) Find [ f (x) / g(x) ]' =, A) [(1 /x) sec x – (In x) sec x tan x]/sec2 x C) [1/ x - 1/sec x tan x ]/sec2 x by Quotient Rule. 12) %3D B) 1 / [x sec x tan x] D) [(In x)/ x- sec x /tan2 x ] 13) Find [ f (g(x))]' = A) cos x by Chain Rule. B) tan x 13) C) cot x D) – sin x

Calculus: Early Transcendentals
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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10) In Problems 10 through 12, given f(x) = In x, f ' (x) = (1/x), g (x) = sec x and g' (x) = Find [ 2 f (x) – 3 g(x)]'=, A) 2/x-3 sec x C) 2/ x-3 sec x tan x %3D = sec x tan x. 10) by Linear Property. B) 2ln x- 3 sec x tan x D) 1/ x - sec x tan x 1
Transcribed Image Text:10) In Problems 10 through 12, given f(x) = In x, f ' (x) = (1/x), g (x) = sec x and g' (x) = Find [ 2 f (x) – 3 g(x)]'=, A) 2/x-3 sec x C) 2/ x-3 sec x tan x %3D = sec x tan x. 10) by Linear Property. B) 2ln x- 3 sec x tan x D) 1/ x - sec x tan x 1
11) Find [ f (x) g(x)]' =, A) [(1/x) - (In x) tan x] /sec x C) [(1/x) + (In x) tan x] /sec2 x by Product Rule. 11) B) [(1/x) + (In x) tan x] sec x D) ( sec x tan x )/ x 12) Find [ f (x) / g(x) ]' = _by Quotient Rule. A) [(1 /x) sec x - (In x) sec x tan x]/sec2 x C) [1/ x - 1/sec x tan x ]/sec2 x 12) B) 1 / [x sec x tan x] D) [(In x)/ x- sec x / tan2 x ] 13) Find [ f (g(x) )]' = A) cos x by Chain Rule. B) tan x 13) C) cot x D) - sin x
Transcribed Image Text:11) Find [ f (x) g(x)]' =, A) [(1/x) - (In x) tan x] /sec x C) [(1/x) + (In x) tan x] /sec2 x by Product Rule. 11) B) [(1/x) + (In x) tan x] sec x D) ( sec x tan x )/ x 12) Find [ f (x) / g(x) ]' = _by Quotient Rule. A) [(1 /x) sec x - (In x) sec x tan x]/sec2 x C) [1/ x - 1/sec x tan x ]/sec2 x 12) B) 1 / [x sec x tan x] D) [(In x)/ x- sec x / tan2 x ] 13) Find [ f (g(x) )]' = A) cos x by Chain Rule. B) tan x 13) C) cot x D) - sin x
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