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:
(x - 7)² + (y + 2)² = (2√13)²
Step-by-step explanation:
We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):
r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.
Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²
The second table does not represent a function
5:
1/2 , 3/5 , .606 , 13/20 , 66%
6:
0.09 , 1/10 , 12% , .13 , 3/20
Answer:
1 x 4=4 (Both numbers are in the ones place, so their value are ones.)
Step-by-step explanation
In order to use place value to multiply, we use the distributive property to break apart each place. Always begin with the ones place. We can break apart a 2-digit by 1-digit number into 2 simpler problems. 1 x 4=4 (Both numbers are in the ones place, so their value are ones.)
