## Step-by-step explanation

Problem to solve:

Learn how to solve power rule problems step by step online.

$\frac{1}{2}x^{\left(\frac{1}{2}-1\right)}$

Learn how to solve power rule problems step by step online. Find the derivative (d/dx)(x^0.5) using the power rule. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values \frac{1}{2} and -1. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiply the fraction and term.