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Divide $1$ by $2$
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$derivdef\left(\sqrt{25}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 25^(1/2) using the definition. Divide 1 by 2. Calculate the square root of 25. Find the derivative of 5 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 5. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 5 and -5.