Question

d/dx of (x^2-3)/(x^3+1)​

Answer 1

Answer:

(-x⁴+9x²+2x)/(x³+1)²

Step-by-step explanation:

u=x²-3

v=x³+1

du/dx = 2x

dv/dx = 3x²

dy/dx = (v du/dx - u dv/dx)/v²

=[(x³+1)2x - (x²-3)3x²]/(x³+1)²

=(2x⁴+2x-3x⁴+9x²)/(x³+1)²

=(-x⁴+9x²+2x)/(x³+1)²

Answer 2

HYY DEAR

THIS IS YOUR ANSWER

Answer:

(-x⁴+9x²+2x)/(x³+1)²

Step-by-step explanation:

u=x²-3

v=x³+1

du/dx = 2x

dv/dx = 3x²

dy/dx = (v du/dx - u dv/dx)/v²

=[(x³+1)2x - (x²-3)3x²]/(x³+1)²

=(2x⁴+2x-3x⁴+9x²)/(x³+1)²

=(-x⁴+9x²+2x)/(x³+1)²

THANKS MY ANSWERE