Final Answer
Step-by-step Solution
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Taking the derivative of arctangent
Learn how to solve differential calculus problems step by step online.
$\frac{1}{1+\left(\sqrt{x}\right)^2}\frac{d}{dx}\left(\sqrt{x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dx(arctan(x^1/2)). Taking the derivative of arctangent. Cancel exponents \frac{1}{2} and 2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Multiply the fraction and term.