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Find the value of c(a point where slope of a atangent to curve is zero) if f(x) = Sin(x) is continuous over interval and differentiable over interval (0, π) and c ∈(0,π)

Find the value of c(a point where slope of a atangent to curve is zero) if f(x) = Sin(x) is continuous over interval and differentiable over interval (0, π) and c ∈(0,π) Correct Answer 0,π

Given, f(x)=Sin(x), x ∈ . Now f(0) = f(π) = 0 f’(c) = Cos(c) = 0 c = π⁄2.

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