Download Differentiation of Trigonometric Functions Worksheet and more Exams Calculus in PDF only on Docsity!
©g p 230 Y 183 g UK 8 uStVa 1 qSHo 9 fotSwyadrZeO GL 2 LICZ.G 3 3 AClulO 2 rliHgihitls 5 4 rde 4 sYeVrTvmeodM.L d ZMLaedme 4 LwBibtqh 4 HIhnXfNiPn 1 iNtuek nCuaSlVcuunleuisQ.P Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name___________________________________
Differentiation - Trigonometric Functions Date________________ Period____
Differentiate each function with respect to x****.
1) f ( x ) = sin 2 x^3 2) y = tan 5 x^3
- y = sec 4 x^5 4) y = csc 5 x^5
5) y = ( 2 x^5 + 3)cos x^2
- y = − 2 x^2 − 5 cos 2 x^3
7) f ( x ) = sin 3 x^5 8) f ( x ) = cos (− 3 x^2 + 2)^2
©r g 2 w 0 m 1 D 3 H zKsuatTaK kSvoAfDtgwQaGrdea fLULpCP.Q I 7 A 6 lSlI HreiCg 4 hYtIsN arLeosIemruvaekdX.f V ZMCaudPed iwjietHhs QI 3 nhf 2 i 9 nrint 4 eX vCvaplgc 4 uXlxuqs 1 .k Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name___________________________________
Differentiation - Trigonometric Functions Date________________ Period____
Differentiate each function with respect to x****.
1) f ( x ) = sin 2 x^3
f ' ( x ) = cos 2 x^3 ⋅ 6 x^2
= 6 x^2 cos 2 x^3
- y = tan 5 x^3 dy dx = sec 2 5 x^3 ⋅ 15 x^2 = 15 x^2 ⋅ sec 2 5 x^3
- y = sec 4 x^5 dy dx = sec 4 x 5 ⋅ tan 4 x 5 ⋅ 20 x 4 = 20 x^4 sec 4 x^5 ⋅ tan 4 x^5
- y = csc 5 x^5 dy dx = −csc 5 x 5 ⋅ cot 5 x 5 ⋅ 25 x 4 = − 25 x^4 csc 5 x^5 ⋅ cot 5 x^5
5) y = ( 2 x^5 + 3)cos x^2
dy dx
= ( 2 x
5
+ 3)^ ⋅ − 1 sin x
2 ⋅ 2 x + cos x 2 ⋅ 10 x 4
= 2 x (− 2 x^5 sin x^2 − 3 sin x^2 + 5 x^3 cos x^2 )
- y = − 2 x^2 − 5 cos 2 x^3 dy dx
cos 2 x^3 ⋅ − 4 x − (− 2 x^2 − 5 )^ ⋅ − 1 sin 2 x^3 ⋅ 6 x^2
cos 2 2 x^3
2 x (− 2 cos 2 x^3 − 6 x^3 sin 2 x^3 − 15 x sin 2 x^3 )
cos 2 2 x 3
7) f ( x ) = sin 3 x^5
f ' ( x ) = 3 ⋅ sin 2 x^5 cos x^5 ⋅ 5 x^4
= 15 x^4 ⋅ sin 2 x^5 cos x^5
8) f ( x ) = cos (− 3 x^2 + 2)
2
f ' ( x )^ = −sin (− 3 x^2 + 2)
2
⋅ 2 (− 3 x^2 + 2)^ ⋅ − 6 x
= 12 x sin (− 3 x
2
2
⋅ (− 3 x
2
Create your own worksheets like this one with (^) Infinite Calculus. Free trial available at KutaSoftware.com
