Final answer to the problem
Step-by-step Solution
Specify the solving method
Cancel exponents $2$ and $\frac{1}{2}$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(x-2x+1\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of g(x)=x^2^1/2-2x+1 using the definition. Cancel exponents 2 and \frac{1}{2}. Combining like terms x and -2x. Find the derivative of -x+1 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+1. 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+h\right).