Respuesta :
= x^2 * x^1/2
= x^(5/2)
derivative = (5/2) x ^(5/2 - 1) = (5/2) x^(3/2) or (5/2)(sqrt x)^3
= x^(5/2)
derivative = (5/2) x ^(5/2 - 1) = (5/2) x^(3/2) or (5/2)(sqrt x)^3
y= x².√x
y =x².(x)¹/² → y = x²⁺¹/² → y = x⁵/²
Remember that the derivative of y = xⁿ is y' = n. xⁿ⁻¹
y = x⁵/² → y' = (5/2).x⁽⁵/²⁾⁻¹ → y' = (5/2)x³/² or y' = (5/2)√x³ or y' = (5/2)x√x
y =x².(x)¹/² → y = x²⁺¹/² → y = x⁵/²
Remember that the derivative of y = xⁿ is y' = n. xⁿ⁻¹
y = x⁵/² → y' = (5/2).x⁽⁵/²⁾⁻¹ → y' = (5/2)x³/² or y' = (5/2)√x³ or y' = (5/2)x√x