Ask Question
13 December, 11:36

Finding Higher-Order Derivatives In Exercise, find the second derivative of the function.

f (x) = 2 + x3 ln x

0
Answers (1)
  1. 13 December, 13:21
    0
    d^2y/dx^2 = 5x + 6x lnx

    Step-by-step explanation:

    f (x) = y = 2 + x^3 lnx

    Differentiating a constant (2) = 0

    Differentiating x^3 lnx = x^3 (1/x) + lnx (3x^2) = x^2 + 3x^2 lnx

    dy/dx = 0 + x^2 + 3x^2 lnx = x^2 + 3x^2 lnx

    Differentiating x^2 = 2x

    Differentiating 3x^2 lnx = 3x^2 (1/x) + lnx (6x) = 3x + 6x lnx

    d^2y/dx^2 = 2x + 3x + 6x lnx = 5x + 6x lnx
Know the Answer?