nathan24871
nathan24871 nathan24871
  • 01-10-2017
  • Mathematics
contestada

Derivative of x^2 •root x

Respuesta :

Аноним Аноним
  • 01-10-2017
= 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
Answer Link
mreijepatmat
mreijepatmat mreijepatmat
  • 01-10-2017
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

Answer Link

Otras preguntas

The original population of salamanders migrated southward from the north of California. They avoided the Central Valley because it was too dry and hot for them
Environmental influences begin at birth and continue throughout life. T F
Clarify the beliefs of president Lincoln
A train travels 81 kilometers in 3 hours, and then 63 kilometers in 4 hours. What is its average speed?
given the ABC DEF find the value of x and y
at what point do 3x-2=26 and 5x=7y+58 intersect?
the area A of a rectangle parking lot is given by the equation A=16s^2+25. jacob knows the area of the parking lot and wants to find s. Solve A=16s^2+25 for s
what is the slope of the line shown above? ^^
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Solve for w.
what is the equation of the line, in point-slope form, that passes through the given point and has the given slope ? point (7,3); slope:4/7