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Simplify the fraction $\frac{y^3}{y^3}$ by $y^3$
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$derivdef\left(1\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (y^3)/(y^3) using the definition. Simplify the fraction \frac{y^3}{y^3} by y^3. Find the derivative of 1 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 1. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 1 and -1. Zero divided by anything is equal to zero.