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a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 36E
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Table of Standard Differential Coefficients S(x) s (x) S(x) at a* ln a (a >0) la x イクー fig-figt (x> 0) logaX lna cosh x fCx) sin x Cos X ex sinh x ex Cs X -sinx cosh x sinh x aIna Sin-x Cosx tan x secx tanh x sechx cosecx - cosec xcot x cosech x - cosech x coth x Sinx COSX COSX -sinx secx sec x tan x sech x - sech xtanh x cot x - cosecx coth x - cosechx tan sin"x sinhx (-1<x< 1) And 文 cosx coshx logat xina (-1<x<1) (x>1) tanx tanhx 1 1+ 1-ズ (-1<x<1) 5) Fird the doriwtivu usien y- ch Cotx Sec"x Csc"x 1 -
Transcribed Image Text:Table of Standard Differential Coefficients S(x) s (x) S(x) at a* ln a (a >0) la x イクー fig-figt (x> 0) logaX lna cosh x fCx) sin x Cos X ex sinh x ex Cs X -sinx cosh x sinh x aIna Sin-x Cosx tan x secx tanh x sechx cosecx - cosec xcot x cosech x - cosech x coth x Sinx COSX COSX -sinx secx sec x tan x sech x - sech xtanh x cot x - cosecx coth x - cosechx tan sin"x sinhx (-1<x< 1) And 文 cosx coshx logat xina (-1<x<1) (x>1) tanx tanhx 1 1+ 1-ズ (-1<x<1) 5) Fird the doriwtivu usien y- ch Cotx Sec"x Csc"x 1 -
9. a) Find the derivative of y = 2 sin-x. b) What is the value of the derivative at x = 0.
Transcribed Image Text:9. a) Find the derivative of y = 2 sin-x. b) What is the value of the derivative at x = 0.
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