an2yVernbro an2yVernbro

30-07-2016
Mathematics

contestada

Find the second derivative y= x^2lnx

Respuesta :

Hussain514 Hussain514

04-08-2016

first we use product rule
y=x^2lnx
dy/dx = x^2 d/dx (lnx) + lnx d/dx (x^2)
dy/dx = x^2 (1/x) + lnx (2x)
dy/dx = x + 2xlnx

now taking second derivative:
d2y/dx2 = 1 + 2[x (1/x) + lnx (1)]
d2y/dx2 = 1 + 2[1+lnx]
1+2+2lnx
3+2lnx is the answer

Answer Link

Otras preguntas

Find the fourth term of an arithmetic sequence if the first term is 12 and the common difference is -3. a4 =

(01.05 mc)question refers to the excerpt below. "what we find is that very few africans come to virginia in the colony's first half century. people of african

1. Which property describes a material's ability to dissolve?A. SolubilityB. SaturationC. Boiling pointD. Volume2. Which of the following reasons explains why e

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

a castrated female cattle is called?

An office is divided into 8 cubicles. How many of the cubicles are carpeted if only 1/2 of the cubicles are carpeted?

Create a proof to prove

Name five substances that are transported in blood plasma

What effect does rapid exhalation of CO2 during exercise have on the concentration of H2CO3 in the blood? The concentration of H2CO3 decreases. The concentratio

For a more difficult training session, the mass to be pushed is increased to 160 kg. If the players still push with a force of 150 N, what is the acceleration o