For , what is the smallest positive value of in for which…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For g(x)=sin⁡(2x−π4)g(x)=\sin\left(2x-\frac{\pi}{4}\right), what is the smallest positive value of xx in (0,π)(0,\pi) for which g′(x)=0g'(x)=0? (a) 7π8\frac{7\pi}{8} (b) π4\frac{\pi}{4} (c) 3π8\frac{3\pi}{8} (d) π8\frac{\pi}{8}

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