Bolton Sanders

03/31/2024 · Middle School

5. Try again Get help Practice similar calculated from the equation \[ \frac{1}{R}=\frac{1}{r}+\frac{1}{s}, \] where \( R, r \), and \( s \) are positive. Assume that \( s \) is constant. Find \( \frac{d R}{d r} \) : \( \frac{d R}{d r}=\frac{s^{2}}{(r+s)^{2}} \) Is \( R \) and increasing or decreasing function of \( r \) ? incre asin \( g \) (Enter increasing, decreasing, neither, or both (write both if there are values of \( r \) for which \( R \) is increasing, and other values for which it is decreasing; enter neither if this is a constant function.) If we consider the interval \( a \leq r \leq b \), where does \( R \) take on its global maximum and minimum values? maximum: \( r=a \) minimum: \( r=b \) (Enter none if there is no global maximum or minimum for this