13 December, 11:36
Finding Higher-Order Derivatives In Exercise, find the second derivative of the function.
f (x) = 2 + x3 ln x
13 December, 13:21
d^2y/dx^2 = 5x + 6x lnx
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
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» Finding Higher-Order Derivatives In Exercise, find the second derivative of the function. f (x) = 2 + x3 ln x