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MATH 151 -
Section3-4
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Math 151 Section 3.4 Derivatives of Trig Functions Special Limits of Trigonometric Functions limx! 0sin xx= 1 limx! 0cos x "1x= 0 Example: Find the following limits. A. limx! 0sin 2x( )3x B. limx! 0sin 8x( )sin 9x( ) C. limx! 0cot 2x( )csc x D. limx! 0tan24x( )x2Math 151 Trigonometric Derivative Rules ddxsin x = cos x ddxtan x = sec2x ddxsec x = sec x tan x ddxcos x = !sin x ddxcot x = !csc2x ddxcsc x = !csc x cot x Example: Find the following derivatives. A. y = 5 tan x + 3sec x B. y =sin x1+ cos x C. y = x3cot x Example: For what value(s) of x does y = x + 2 cos x have a horizontal tangent
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