Question | AP Tutor

2. Find a function \(f\) and a number \(a\) such that

\(f'(a) = \lim\limits_{{h \to 0}} \frac{{\sin\left(\frac{\pi}{6} + h\right) - \frac{1}{2}}}{h}\).

\(a = \frac{1}{2}\) and \( f(x) = \sin ( \frac{\pi}{6}+ x )\).

\(a = \frac{\pi}{6}\) and \( f(x) = \sin x \).

\(a = \frac{1}{2}\) and \( f(x) = \sin x \).

\(a = \frac{\pi}{6}\) and \( f(x) = \sin ( \frac{\pi}{6}+ x )\).

Answer is: option2

\(a = \frac{\pi}{6}\) and \( f(x) = \sin x \).

Solution:

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