AP

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

Problem

Evaluate lim⁡h→0sin⁡(π4+h)−sin⁡(π4)h\displaystyle \lim_{h\to0}\frac{\sin\bigl(\tfrac{\pi}{4}+h\bigr)-\sin\bigl(\tfrac{\pi}{4}\bigr)}{h}. (a) −22-\dfrac{\sqrt{2}}{2} (b) 12\dfrac{1}{2} (c) 22\dfrac{\sqrt{2}}{2} (d) 2\sqrt{2}

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