Final Answer
$\frac{1}{4\sqrt{x}}$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(\frac{\sqrt{x}}{2}+3\right)$
Specify the solving method
1
The derivative of a sum of two or more functions is the sum of the derivatives of each function
$\frac{d}{dx}\left(\frac{\sqrt{x}}{2}\right)+\frac{d}{dx}\left(3\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{\sqrt{x}}{2}\right)+\frac{d}{dx}\left(3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x^1/2)/2+3. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (3) is equal to zero. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. Divide 1 by 2.
Final Answer
$\frac{1}{4\sqrt{x}}$