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Find the derivative of $yx^2-11xy$ 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 $yx^2-11xy$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{y\left(x+h\right)^2-11\left(x+h\right)y-\left(yx^2-11xy\right)}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Factor the expression yx^2-11xy. Find the derivative of yx^2-11xy 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 yx^2-11xy. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(yx^2-11xy\right). Expand \left(x+h\right)^2. Multiply the single term y by each term of the polynomial \left(x^2+2xh+h^2\right).