Prove (dy/dx) = (d/dx)(√u) = (du/dx)/(2√u), if y = √u

The derivative of square root of u. Prove (dy/dx) = (d/dx)(√u) = (du/dx)/(2√u), or the derivative of y with respect to x is equal to the derivative of square root of u with respect to x is equal to the derivative of u with respect to x divided by 2 times the square root of u, if y = √u. √u = u^(1/2). Hence, y = √u = u^(1/2) = u^n, where n = 1/2. To prove this, we will employ the chain rule, and the power formula.

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