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Kuta Software - Infinite Calculus Name___________________________________ Differentiation - Trigonometric Functions Date________________ Period____ Differentiate each function with respect to x. ( ) 3 3 1) f x = sin 2x 2) y = tan 5x 3) y = sec 4x5 4) y = csc 5x5 ( 5 ) 2 2 5) y = 2x + 3 cos x −2x − 5 6) y = 3 cos 2x ( ) 3 5 2 2 7) f x = sin x ( ) ( ) 8) f x = cos −3x + 2 ©g p230Y183g UK8uStVa1 qSHo9fotSwyadrZeO GL2LICZ.G 3 3AClulO 2rliHgihitls5 4rde4sYeVrTvmeodM.L d ZMLaedme4 LwBibtqh4 HIhnXfNiPn1iNtuek nCuaSlVcuunleuisQ.P Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name___________________________________ Differentiation - Trigonometric Functions Date________________ Period____ Differentiate each function with respect to x. ( ) 3 3 1) f x = sin 2x 2) y = tan 5x '( ) 3 2 f x = cos 2x ⋅ 6x dy 2 3 2 = 6x2cos 2x3 = sec 5x ⋅ 15x dx = 15x2 ⋅ sec2 5x3 3) y = sec 4x5 4) y = csc 5x5 dy = sec 4x5 ⋅ tan 4x5 ⋅ 20x4 dy = −csc 5x5 ⋅ cot 5x5 ⋅ 25x4 dx dx = 20x4sec 4x5 ⋅ tan 4x5 = −25x4csc 5x5 ⋅ cot 5x5 ( 5 ) 2 2 5) y = 2x + 3 cos x −2x − 5 6) y = 3 dy cos 2x ( 5 ) 2 2 4 = 2x + 3 ⋅ −1sin x ⋅ 2x + cos x ⋅ 10x 3 ( 2 ) 3 2 dx dy cos 2x ⋅ −4x − −2x − 5 ⋅ −1sin 2x ⋅ 6x ( 5 2 2 3 2) = 3 = 2x −2x sin x − 3sin x + 5x cos x dx cos2 2x ( 3 3 3 3) 2x −2cos 2x − 6x sin 2x − 15xsin 2x = cos2 2x3 ( ) 3 5 2 2 7) f x = sin x ( ) ( ) 8) f x = cos −3x + 2 '( ) 2 5 5 4 2 2 2 f x = 3 ⋅ sin x cos x ⋅ 5x '( ) ( ) ( ) f x = −sin −3x + 2 ⋅ 2 −3x + 2 ⋅ −6x = 15x4 ⋅ sin2 x5cos x5 ( 2 )2 ( 2 ) = 12xsin −3x + 2 ⋅ −3x + 2 Create your own worksheets like this one with . Free trial available at KutaSoftware.com Infinite Calculus ©r g2w0m1D3H zKsuatTaK kSvoAfDtgwQaGrdea fLULpCP.Q I 7A6lSlI HreiCg4hYtIsN arLeosIemruvaekdX.f V ZMCaudPed iwjietHhs QI3nhf2i9nrint4eX vCvaplgc4uXlxuqs1.k Worksheet by Kuta Software LLC
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