Final answer to the problem
Step-by-step Solution
Specify the solving method
Calculate the square root of $2$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(500\sqrt{2}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 5002^1/2 using the definition. Calculate the square root of 2. Multiply 500 times \sqrt{2}. Find the derivative of 707.1067812 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 707.1067812. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 707.1067812 and -707.1067812.