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Divide $1$ by $5$
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$derivdef\left(\sqrt[5]{1010}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 1010^(1/5) using the definition. Divide 1 by 5. Calculate the power \sqrt[5]{1010}. Find the derivative of \frac{363}{91} 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{363}{91}. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values \frac{363}{91} and -\frac{363}{91}.