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Divide $\pi $ by $6$
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$derivdef\left(\cos\left(\frac{\pi}{6}\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of cos(pi/6) using the definition. Divide \pi by 6. The cosine of \frac{\pi}{6} equals . Find the derivative of \frac{\sqrt{3}}{2} using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is \frac{\sqrt{3}}{2}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{\sqrt{3}}{2} and -\frac{\sqrt{3}}{2}.