Differentiate 𝒚=𝟐𝒙^(𝟏/𝟐)+𝟔𝒙^(𝟏/𝟑)−𝟐𝒙^(𝟑/𝟐)

asked by guest
on Nov 18, 2024 at 6:45 am



You asked:

Find the derivative of the function y=2x12+6x132x32y = 2 {x}^{\frac{1}{2}} + 6 {x}^{\frac{1}{3}} - 2 {x}^{\frac{3}{2}} with respect to xx.

MathBot Answer:

dydx=3x+1x+2x23\frac{d y}{d x} = - 3 \sqrt{x} + \frac{1}{\sqrt{x}} + \frac{2}{x^{\frac{2}{3}}}