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Find the derivative of $\frac{a^2-ab}{a}$ 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 $\frac{a^2-ab}{a}$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{\frac{a^2-a\left(b+h\right)}{a}-\frac{a^2-ab}{a}}{h}\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative of (a^2-ab)/a using the definition. Find the derivative of \frac{a^2-ab}{a} 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{a^2-ab}{a}. Substituting f(x+h) and f(x) on the limit, we get. Combine \frac{a^2-a\left(b+h\right)}{a}-\frac{a^2-ab}{a} in a single fraction. Divide fractions \frac{\frac{-a\left(b+h\right)+ab}{a}}{h} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Solve the product -a\left(b+h\right).