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Find the derivative of $65536$ 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 $65536$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
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$\lim_{h\to0}\left(\frac{65536-65536}{h}\right)$
Learn how to solve problems step by step online. Find the derivative of 8^x^1/3=65536 using the definition. Find the derivative of 65536 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 65536. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 65536 and -65536. Zero divided by anything is equal to zero. The limit of a constant is just the constant.