differentiate.\ny = 2\\sqrt{x}\n\\frac{d}{dx}(2\\sqrt{x}) = square
differentiate.\ny = 2\\sqrt{x}\n\\frac{d}{dx}(2\\sqrt{x}) = square
Answer
Explanation:
Step1: Rewrite the function
$y = 2x^{\frac{1}{2}}$
Step2: Apply power - rule
$\frac{d}{dx}(ax^n)=anx^{n - 1}$, so $\frac{d}{dx}(2x^{\frac{1}{2}})=2\times\frac{1}{2}x^{\frac{1}{2}-1}$
Step3: Simplify the result
$x^{-\frac{1}{2}}=\frac{1}{\sqrt{x}}$
Answer:
$\frac{1}{\sqrt{x}}$