For the curve

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For the curve

y = \dfrac{\sin x}{x}

(x \neq 0)

, answer the following: (i) Determine the slope of the tangent at

x = \dfrac{\pi}{2}

. (ii) Hence, find the equation of the normal at the same point.

Related theory

Straight Lines
Differentiation Rules
Derivatives of standard functions via chain rule
Differentiability of functions
Continuity and Differentiability

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