SOLUTION: If x^2y+yx^2=6, then d^2y/dx^2 at the point (1,3) is (A) -18 (B) -6 (C) 6 (D) 12 (E) 18

Algebra ->  Test -> SOLUTION: If x^2y+yx^2=6, then d^2y/dx^2 at the point (1,3) is (A) -18 (B) -6 (C) 6 (D) 12 (E) 18       Log On


   

Question 262264: If x^2y+yx^2=6, then d^2y/dx^2 at the point (1,3) is
(A) -18
(B) -6
(C) 6
(D) 12
(E) 18
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2y%2Byx%5E2=6
2x%5E2y=6
x%5E2y=3
y=3x%5E%28-2%29
dy%2Fdx=3%28-2x%5E%28-3%29%29
dy%2Fdx=-6x%5E%28-3%29%29
d2y%2Fdx2=-6%28-3x%5E%28-4%29%29
d2y%2Fdx2=18x%5E%28-4%29
At x=1
d2y%2Fdx2=18
E) is the correct answer.