Chapter 4, Problem 2CRQ

(a)

To determine

To fill: “If f is differentiable on an open interval $\left(a,b\right)$ and $f^{\prime }\left(x\right)>0$ on $\left(a,b\right)$, then f is_____.”

(b)

To determine

To fill: “If f is differentiable on an open interval $\left(a,b\right)$ and ____ on $\left(a,b\right)$, then f is decreasing. ”

(c)

To determine

To fill: “If $f^{\prime }\left(x\right)=0$ for each value of x in the interval $\left(a,b\right)$, then f is ____ on $\left(a,b\right)$.”