Mark the correct alternative in the following:

Rolle’s theorem is applicable in case of ϕ (x) = asinx, a > 0 in


Φ(x) = aSin x, a > 0


Differentiating the above-mentioned function, with respect to ‘x’,


Φ’(x) = log a (cos x a Sin x)


Φ’(c) = log a (cos c a Sin c)


Let Φ’(c) = 0


log a (cos c a Sin c) = 0


cos c a Sin c = 0


cos c = 0




Also, the above-mentioned function, is derivable and continuous on the interval [0, π].


Thus, here Rolle’s Theorem is applicable on the above mentioned function in the interval [0,π].


Hence, Option (B) is the answer.

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