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:
Formula: a² + 2ab + b² = (a + b)²
The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.
The answer is (1/3x + 1/5y)².
7 or more games
2x = 20+
so if he had 7 games, mark would have double (14 games)z 14+7=21. that's more that 20 games.
*Aggressively drops microphone*