![Multiple Choice If $f$ is a continuous, decreasing function on $[0,10]$ with a critical point at $(4,2),$ which of the following statements must be false?
(A) $f(10)$ is an absolute minimum of $f$ on $[0,10] .$
(B) $f(4)$ is neither a relative maximum nor a relative minimum.
(C) $f^{\prime}(4)$ does not exist.
(D) $f^{\prime}(4)=0$
(E) $f^{\prime}(4)<0$](https://cdn-www.numerade.com/static/lazyload.95c829fcfb1f.svg)
Multiple Choice If $f$ is a continuous, decreasing function on $[0,10]$ with a critical point at $(4,2),$ which of the following statements must be false?
(A) $f(10)$ is an absolute minimum of $f$ on $[0,10] .$
(B) $f(4)$ is neither a relative maximum nor a relative minimum.
(C) $f^{\prime}(4)$ does not exist.
(D) $f^{\prime}(4)=0$
(E) $f^{\prime}(4)<0$
Applications of Derivatives
Extreme Values of Functions