Calculate the slope of the tangent line to the curve (y= x ) at (x= /3 ).

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Calculate the slope of the tangent line to the curve y=sec⁡xy=\sec x at x=π/3x=\pi/3. (a) 23\dfrac{2}{\sqrt{3}} (b) 232\sqrt{3} (c) 32\dfrac{\sqrt{3}}{2} (d) −23-2\sqrt{3}

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