Final answer to the problem
Step-by-step Solution
Specify the solving method
Calculate the square root of $5$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\frac{2x}{\sqrt{5}}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (2x)/(5^1/2) using the definition. Calculate the square root of 5. Take \frac{2}{\sqrt{5}} out of the fraction. Find the derivative of \frac{2\sqrt{5}}{5}x 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 \frac{2\sqrt{5}}{5}x. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term \frac{2\sqrt{5}}{5} by each term of the polynomial \left(x+h\right).