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Cancel exponents $3$ and $\frac{1}{3}$
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$derivdef\left(x\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of y=x^3^1/3 using the definition. Cancel exponents 3 and \frac{1}{3}. Find the derivative of x 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 x. Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms x and -x. Simplify the fraction \frac{h}{h} by h.