On the interval

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

On the interval [0,π][0,\pi], the function p(x)=sin⁡(2x)p(x)=\sin(2x) satisfies p(0)=p(π)p(0)=p(\pi). How many distinct numbers cc in (0,π)(0,\pi) satisfy p′(c)=0p'(c)=0? (a) 11 (b) 22 (c) 33 (d) Infinitely many\text{Infinitely many}

Related theory

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