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Find the derivative of $2y$ 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 $2y$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{2y-2y}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 2y using the definition. Find the derivative of 2y 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 2y. Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms 2y and -2y. Zero divided by anything is equal to zero. The limit of a constant is just the constant.