Let $f ( x ) = x ^ { 3 } - 6 x ^ { 2 }$ Then which of the following is the largest interval, of those listed, for which $f ^ { \prime } ( x ) 0$ for all x in that interval?

A) $( 4 , \infty )$
B) $( - \infty , 0 )$
C) $( 0,4 )$
D) $( - \infty , 0 ) \cup ( 4 , \infty )$
E) $( - \infty , \infty )$

Question

Let $f ( x ) = x ^ { 3 } - 6 x ^ { 2 }$ Then which of the following is the largest interval, of those listed, for which $f ^ { \prime } ( x ) > 0$ for all x in that interval?

A) $( 4 , \infty )$
B) $( - \infty , 0 )$
C) $( 0,4 )$
D) $( - \infty , 0 ) \cup ( 4 , \infty )$
E) $( - \infty , \infty )$

Quizplus · Accepted Answer

The Answer of Let $f ( x ) = x ^ { 3 } - 6 x ^ { 2 }$ Then which of the following is the largest interval, of those listed, for which $f ^ { \prime } ( x ) > 0$ for all x in that interval?

A) $( 4 , \infty )$
B) $( - \infty , 0 )$
C) $( 0,4 )$
D) $( - \infty , 0 ) \cup ( 4 , \infty )$
E) $( - \infty , \infty )$

Let f(x)=x3−6x2f ( x ) = x ^ { 3 } - 6 x ^ { 2 }f(x)=x3−6x2

Let $f ( x ) = x ^ { 3 } - 6 x ^ { 2 }$