Continuity and DifferentiabilityHard

Question

If f(x) = then f′(x) is equal to-

Options

A.0

B.1

C.cos^m+n+px

D.None of these

Solution

f(x) = (sin x)^{m2 - n2} . (sin x^{)n2 - p2} . (sin x)^{p2 - m2}
f(x) = (sin x)^{m2 - n2 + n2 - p2 + p2 - m2}
f(x) = (sin x)⁰ = 1
f′(x) = 0

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