( sin x +cos x) then (sin x - cos x) 2 cos ²x
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Answer:
Given f(x)=∣∣∣∣∣∣∣∣∣cosxcos2xcos3xsinxsin2xsin3xcosx2cos2x3cos3x∣∣∣∣∣∣∣∣∣
differentiate on both sides wrt x
f′(x)=∣∣∣∣∣∣∣∣∣−sinxcos2xcos3xcosxsin2xsin3x−sinx2cos2x3cos3x∣∣∣∣∣∣∣∣∣+∣∣∣∣∣∣∣∣∣cosx−2sin2xcos3xsinx2cos2xsin3xcosx−4sin2x3cos3x∣∣∣∣∣∣∣∣∣+∣
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