Continuity and DifferentiabilityHard

Question

If f(x) = then f′(x) is equal to-

Options

A.0
B.1
C.cosm+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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