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Simplify the fraction $\frac{-ab^2}{a}$ by $a$
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$derivdef\left(a^2-b^2\right)$
Learn how to solve problems step by step online. Find the derivative of a^2+(-ab^2)/a using the definition. Simplify the fraction \frac{-ab^2}{a} by a. Find the derivative of a^2-b^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 a^2-b^2. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(a^2-b^2\right). Simplifying.