A function is defined by .

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A function is defined by s(x)=esin⁡(2x−π/3)s(x)=e^{\sin(2x-\pi/3)}. (a) Determine s′(x)s'(x) and simplify your result. (b) Find the equation of the line tangent to the graph of ss at x=π6x=\dfrac{\pi}{6}. Express the line in point–slope form.

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