Question

differentiate.
y = 12\sqrt{x}
\frac{d}{dx}(12\sqrt{x}) = \square

Explanation:

Step1: Rewrite the function

$y = 12x^{\frac{1}{2}}$

Step2: Apply power - rule

$\frac{d}{dx}(ax^n)=anx^{n - 1}$, so $\frac{d}{dx}(12x^{\frac{1}{2}})=12\times\frac{1}{2}x^{\frac{1}{2}-1}$

Step3: Simplify the result

$6x^{-\frac{1}{2}}=\frac{6}{\sqrt{x}}$

Answer:

$\frac{6}{\sqrt{x}}$