\( 1 \leftarrow \quad \) Divide the expression using the quotient rule.
Solución de tutoría real
Responder
Solución
¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.
Revisado y aprobado por el equipo de tutoría de UpStudy
Extra Insights
To apply the quotient rule, remember that if you have a function that can be expressed as \( \frac{f(x)}{g(x)} \), the derivative is given by: \[ \frac{d}{dx}\left(\frac{f(x)}{g(x)}\right) = \frac{f'(x)g(x) - f(x)g'(x)}{(g(x))^2} \] This means you take the derivative of the numerator \( f(x) \), multiply it by the denominator \( g(x) \), and subtract \( f(x) \) multiplied by the derivative of the denominator \( g'(x) \), finally dividing that whole expression by the square of the denominator. In practice, it's handy to remember that you’ll need to compute the derivatives of both the numerator and denominator first, which often involves a bit of algebraic manipulation to make derivatives easier to calculate!