** Final Answer

**

** Step-by-step Solution **

** Specify the solving method

**

**

Apply the quotient rule for differentiation, which states that if $f(x)$ and $g(x)$ are functions and $h(x)$ is the function defined by ${\displaystyle h(x) = \frac{f(x)}{g(x)}}$, where ${g(x) \neq 0}$, then ${\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}$

Learn how to solve problems step by step online.

$\frac{\frac{d}{dx}\left(4\right)\sqrt{x}-4\frac{d}{dx}\left(\sqrt{x}\right)}{\left(\sqrt{x}\right)^2}$

Learn how to solve problems step by step online. Find the derivative d/dx(4/(x^1/2)). Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Cancel exponents \frac{1}{2} and 2. The derivative of the constant function (4) is equal to zero. Any expression multiplied by 0 is equal to 0.

** Final Answer

**