Find the derivative of cos³ 2x.(A) -sin³ 2x(B) -6 cos² 2x(C) 6 cos² 2x sin 2x(D) -3 cos² 2x sin 2x(E) -6 cos² 2x sin 2x

banganX

banganX

Answered question

2020-11-10

Find the derivative of cos³2x.(A)sin³2x(B)6cos²2x(C)6cos²2xsin2x(D)3cos²2xsin2x(E)6cos²2xsin2x

Answer & Explanation

rogreenhoxa8

rogreenhoxa8

Skilled2020-11-11Added 109 answers

Use the Power Rule and the Chain Rule:
ddx((cos3)2x)=3((cos31)2x)ddx(cos2x) ddx((cos3)2x)=3(cos2)2x)(2sin2x) ddx((cos3)2x)=6cos2(2xsin)2xsin
So, the correct answer is E.

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