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a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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
PROBLEM SET - Trigonometry Rules | Table of Standard Differential Coefficients flf'(x) S(x) s (x) S(x) S'(x) ナ+5ODJ f'g-f.gt a* In a (a >0) n-/ at in In x 1 (x> 0) fCx) gx) Sin-x cos-'x logaX ex ex sin x COS X sinh x cosh x COS X - sin x cosh x sinh x a* | a*lna tan x sec'x tanh x sechx Cosec x - cosec xcot x cosech x - cosech x coth x Sinx COSX sec x sec x tan x sech x - sech xtanh x cot x - cosecx coth x - cosech'x COSX -sinx tan x sinx sinhx 1 (-1<xく1) A-ズ V +1 Inx cosx cosh x loget - 1 (-1<x< 1) (x>1) tan tanbx -1 1 (-1<x<1) 1+x Cotx Sec 1- Csc"x 3. a) Find the derivative of g(x) = 3tanx - 4cotx. %3D b) What is the value of g' ()?
Transcribed Image Text:PROBLEM SET - Trigonometry Rules | Table of Standard Differential Coefficients flf'(x) S(x) s (x) S(x) S'(x) ナ+5ODJ f'g-f.gt a* In a (a >0) n-/ at in In x 1 (x> 0) fCx) gx) Sin-x cos-'x logaX ex ex sin x COS X sinh x cosh x COS X - sin x cosh x sinh x a* | a*lna tan x sec'x tanh x sechx Cosec x - cosec xcot x cosech x - cosech x coth x Sinx COSX sec x sec x tan x sech x - sech xtanh x cot x - cosecx coth x - cosech'x COSX -sinx tan x sinx sinhx 1 (-1<xく1) A-ズ V +1 Inx cosx cosh x loget - 1 (-1<x< 1) (x>1) tan tanbx -1 1 (-1<x<1) 1+x Cotx Sec 1- Csc"x 3. a) Find the derivative of g(x) = 3tanx - 4cotx. %3D b) What is the value of g' ()?
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