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:
11
Step-by-step explanation:
3 + 5 = 8
8 + 9 = 17
17 - 6 = 11
Answer:
Step-by-step explanation:
The expected return is given as
Expected Return = SUM (Return i x Probability i). i=1,2,3.....
First investment
Probability of 0.7, it returns 60cents per dollars
Second investment
Probably of 0.3, it loses 20cents per dollar.
Expected return=(0.7×60)-(0.3×20)
Excepted return= 42-6
Excepted return=36cents
To dollars, 1cents is 0.01dollars
Then, 36cents = 0.36dollars
Expected return=$0.36
Step-by-step explanation:
Domain x belongs to [-4 , 0]
Range y belongs to [-4 , 4]
