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a) Find the derivative of g(x) = 3tanx - 4cotx. b) What is the value of g'() ?

a) Find the derivative of g(x) = 3tanx - 4cotx. b) What is the value of g'() ?

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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Question
Table of Standard Differential Coefficients S(x) S(x) S(x) a* ln a n-1 at (a >0) la x (x>0) fCx) sin x Cos X sinh x ex ex alna cosh x cos x - sin x cosh x sinh x Sin-x x tan x secx tanh x sechx cosecx - cosec xcotX cos"x tan x cosech x - cosech x coth x CosX Sinx COSX COSX -sinx secx sec x tan x sech x - sech xtanh x cot x - cosecx coth x - cosech' x sin"x sinhx (-1<x<1) * +1 cosx cosh - 1 logat xina (-1<x<1) (x>1) V-1 tan tanbx 1+ 1-3 (-1<x< 1) Cotx Sec x XVX²-1 - - 5)Whot is th Csc"x 2. 3. a) Find the derivative of g(x) = 3tanx - 4cotx. b) What is the value of g
Transcribed Image Text:Table of Standard Differential Coefficients S(x) S(x) S(x) a* ln a n-1 at (a >0) la x (x>0) fCx) sin x Cos X sinh x ex ex alna cosh x cos x - sin x cosh x sinh x Sin-x x tan x secx tanh x sechx cosecx - cosec xcotX cos"x tan x cosech x - cosech x coth x CosX Sinx COSX COSX -sinx secx sec x tan x sech x - sech xtanh x cot x - cosecx coth x - cosech' x sin"x sinhx (-1<x<1) * +1 cosx cosh - 1 logat xina (-1<x<1) (x>1) V-1 tan tanbx 1+ 1-3 (-1<x< 1) Cotx Sec x XVX²-1 - - 5)Whot is th Csc"x 2. 3. a) Find the derivative of g(x) = 3tanx - 4cotx. b) What is the value of g
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