Question

Find the derivative of y = (t2 - 1) / (t2 + 1)​

Answer 1

Answer:

HELLO

BBP HERE ❤️

We apply the Quotient Rule with u = t2 - 1 and v = t2 + 1

dy / dt = ((t2 + 1)2t - (t2 - 1).2t) / (t2 + 1)2

[As d / dt (u / v) = (v(du / dt) - u(dv / dt)) / v2]

= (2t3 + 2t - 2t3 + 2t) / (t2 + 1)2 = 4t / (t2 + 1)2