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Calculating the tangent of $30$ degrees
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$derivdef\left(2\frac{\sqrt{3}}{3}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 2tan(30) using the definition. Calculating the tangent of 30 degrees. Multiply 2 times \frac{\sqrt{3}}{3}. Find the derivative of \frac{2\sqrt{3}}{3} 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{2\sqrt{3}}{3}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{2\sqrt{3}}{3} and -\frac{2\sqrt{3}}{3}.