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