Exercise
$\frac{d}{dx}\left(\sqrt{x+\sqrt{1-2x}}\right)$
Step-by-step Solution
Learn how to solve integrals of rational functions problems step by step online. Find the derivative of (x+(1-2x)^(1/2))^(1/2). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Find the derivative of (x+(1-2x)^(1/2))^(1/2)
Final answer to the exercise
$\frac{1}{2\sqrt{x+\sqrt{1-2x}}}\left(1+\frac{-1}{\sqrt{1-2x}}\right)$