Differentiate fraction numerator x squared plus 7 over denominator x squared minus 6 end fraction with respect to x.
You asked:
Find the derivative of the function \(\frac{{x}^{2} + 7}{{x}^{2} - 6}\) with respect to \(x\).
MathBot Answer:
\[\frac{d}{d x}\left[\frac{{x}^{2} + 7}{{x}^{2} - 6}\right] = \frac{2 x}{x^{2} - 6} - \frac{2 x \left(x^{2} + 7\right)}{\left(x^{2} - 6\right)^{2}}\]