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Divide $51$ by $10$
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$derivdef\left(\log_{3}\left(\frac{51}{10}\right)\right)$
Learn how to solve problems step by step online. Find the derivative of log3((51/10)) using the definition. Divide 51 by 10. Find the derivative of \log_{3}\left(\frac{51}{10}\right) 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 \log_{3}\left(\frac{51}{10}\right). Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms \log_{3}\left(\frac{51}{10}\right) and -\log_{3}\left(\frac{51}{10}\right). Zero divided by anything is equal to zero.