Determine the value of at .

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

Problem

Determine the value of ddx[ 3arcsin⁡(2x) ]\displaystyle \frac{d}{dx}\bigl[\,3\arcsin(2x)\,\bigr] at x=14x=\dfrac14. (a) 333\sqrt{3} (b) 232\sqrt{3} (c) 434\sqrt{3} (d) −43-4\sqrt{3}

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