JoshuaBojorquez JoshuaBojorquez
  • 19-03-2021
  • Mathematics
contestada

Let y = x² In(x).
dy/dx the lesson is differentiate products​

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 24-03-2021

Answer:

dy/dx = x(1+2lnx)

Step-by-step explanation:

Given y = x² In(x).

dy/dx = Udv/dx + Vdu/dx

Let U = x², V = lnx

du/dx = 2x

dv/dx = 1/x

Substitute into the formula;

dy/dx = x²(1/x) + lnx(2x)

dy/dx = x + 2xlnx

dy/dx = x(1+2lnx)

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