Find d^2y/dx^2 for y=(x+3)/(x-1)
A. 0
B. y=-8/(x-1)3
C. y=-4/(x-1)^3
D. y=8/(x-1)^3
E. None of these
I got a positive number but am not sure about the denominator in the second derivative.
Looks like (D) to me.
You know that y = (x+3)(x-1)^-1
each differentiation subtracts 1 from the exponent of (x-1), so the 2nd derivative must have (x-1)^-3