SOLUTION: If y=e^x (x-1) then y''(0) equals
(A) -2
(B) -1
(C) 0
(D) 1
(E) none of these
Algebra.Com
Question 269891: If y=e^x (x-1) then y''(0) equals
(A) -2
(B) -1
(C) 0
(D) 1
(E) none of these
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
y = (x-1)*e^x
Take y' using the product rule and we get
y' = (x-1)*e^x + e^x (1)
take y''using the product rule and we get
y'' = (x-1)*e^x + e^x + e^x
Now y''(0) = (0-1)e^0 + e^0 + e^0 = -1 + 1 + 1 = 1
This is answer choice (D)
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