Differentiate 𝒚=𝟐𝒙^(𝟏/𝟐)+𝟔𝒙^(𝟏/𝟑)−𝟐𝒙^(𝟑/𝟐)
You asked:
Find the derivative of the function \(y = 2 \cdot {x}^{\frac{1}{2}} + 6 \cdot {x}^{\frac{1}{3}} - 2 \cdot {x}^{\frac{3}{2}}\) with respect to \(x\).
MathBot Answer:
\[\frac{d y}{d x} = - 3 \sqrt{x} + \frac{1}{\sqrt{x}} + \frac{2}{x^{\frac{2}{3}}}\]