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Simplify the fraction
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$derivdef\left(\frac{x^3}{x^5}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x^3y^2)/(x^5y^2) using the definition. Simplify the fraction . Simplify the fraction by x. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Find the derivative of x^{-2} 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^{-2}. Substituting f(x+h) and f(x) on the limit, we get.