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Evaluating the logarithm of base $10$ of $1$
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$derivdef\left(0\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of log(1) using the definition. Evaluating the logarithm of base 10 of 1. Find the derivative of 0 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 0. Substituting f(x+h) and f(x) on the limit, we get. Add the values 0 and 0. Zero divided by anything is equal to zero.