Step-by-step explanation
Problem to solve:
$\frac{d}{dx}\left(x^{\frac{1}{2}}\right)$
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.
Final Answer
$\frac{\frac{1}{2}}{\sqrt{x}}$