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
VER TODAS LAS RESPUESTAS ( 35+ )
Otras preguntas
Cricket chirp more frequently as temperature increases. You can estimate the Fahrenheit temperature by counting the number of times a particular type of cricket
People build a dam to create a reservoir that supplies water a nearby city needs. Describe two ways this action will likely affect the water cycle in the local
When does a scientist create the conclusion? A) Before observing the data B) After defining the hypothesis C) While checking the data for accuracy D) While comp
A weather station model can be used to? A. calculate the size of tornadoes B. increase the frequency of rainfall C. find the wind speed and direction D. decreas
Compute the average number of units consumed: 504, 519, 576, 321, 256, 101, 76, 75, 127, 289, 367, and 511.
What does frictional influences mean?
What factors caused the Great Depression to spread around the world?
All organisms require nitrogen to make amino acids, which in turn are used to build what?
The atmosphere is considered _____ because of its ability to transport and distribute materials throughout the globe quickly. a superhighway a blanket stagnant
Following the Great Depression, in which country did economic recovery occur most quickly?