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The value of c in Rolle’s Theorem for the function f (x) = e x sinx, x∈ [π 0, ] is :
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π/6 π/4 2π/3 3π/4 |
3π/4 |
By Rolle's Theorem : f'(c) = 0; f'(x) = e x Sin x + e x Cos x f'(x)|x=c = e x Sin x|x=c + e x Cos x|x=c 0 = e x or 0 = (Sin x + Cos x) x = 1, 3π/4 |
