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State the Signs Of f(x)f ^ { \prime } ( x )

Question 53

Multiple Choice

State the signs of f(x) f ^ { \prime } ( x ) and f(x) f ^ { \prime \prime } ( x ) on the interval (0, 2) .  State the signs of  f ^ { \prime } ( x )   and  f ^ { \prime \prime } ( x )   on the interval (0, 2) .   A)   \begin{array} { l }  f ^ { \prime } = 0 \\ f ^ { \prime \prime } < 0 \end{array}  B)   \begin{array} { l }  f ^ { \prime } > 0 \\ f ^ { \prime \prime } < 0 \end{array}  C)   \begin{array} { l }  f ^ { \prime } < 0 \\ f ^ { \prime \prime } < 0 \end{array}  D)   \begin{array} { l }  f ^ { \prime } < 0 \\ f ^ { \prime \prime } > 0 \end{array}  E)   \begin{array} { l }  f ^ { \prime } > 0 \\ f ^ { \prime \prime } > 0 \end{array}


A) f=0f<0\begin{array} { l } f ^ { \prime } = 0 \\f ^ { \prime \prime } < 0\end{array}
B) f>0f<0\begin{array} { l } f ^ { \prime } > 0 \\f ^ { \prime \prime } < 0\end{array}
C) f<0f<0\begin{array} { l } f ^ { \prime } < 0 \\f ^ { \prime \prime } < 0\end{array}
D) f<0f>0\begin{array} { l } f ^ { \prime } < 0 \\f ^ { \prime \prime } > 0\end{array}
E) f>0f>0\begin{array} { l } f ^ { \prime } > 0 \\f ^ { \prime \prime } > 0\end{array}

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