## Step-by-step explanation

Problem to solve:

Learn how to solve differential calculus problems step by step online.

$\frac{1}{1+x}\frac{d}{dx}\left(\sqrt{x}\right)$

Learn how to solve differential calculus problems step by step online. Derive the function arctan(x^0.5) with respect to x. Taking the derivative of arctangent. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.