AP

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Evaluate

\displaystyle \lim_{h\to 0}\frac{\sin\left(\tfrac{\pi}{6}+h\right)-\sin\left(\tfrac{\pi}{6}\right)}{h}

Related theory

Differentiation Rules
Derivative Foundations
Differentiation from first principles
Derivatives
Limits and Derivatives

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