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Multiply $2$ times $\pi $
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$derivdef\left(2\pi r\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 2*pir using the definition. Multiply 2 times \pi . Find the derivative of 2\pi r 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 2\pi r. Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms 2\pi r and -2\pi r. Zero divided by anything is equal to zero.