derivative (x^4-1)/(x^4+1)

asked by guest
on Feb 13, 2025 at 8:48 am



You asked:

Find the derivative of the function \(\frac{{x}^{4} - 1}{{x}^{4} + 1}\) with respect to \(x\).

MathBot Answer:

\[\frac{d}{d x}\left[\frac{{x}^{4} - 1}{{x}^{4} + 1}\right] = - \frac{4 x^{3} \left(x^{4} - 1\right)}{\left(x^{4} + 1\right)^{2}} + \frac{4 x^{3}}{x^{4} + 1}\]