The function
f ( x ) = − 4 x 3 − 29.64 x 2 + 145.584 x + 1.31 \displaystyle {f{{\left({x}\right)}}}=-{4}{x}^{{3}}-{29.64}{x}^{{2}}+{145.584}{x}+{1.31} f ( x ) = − 4 x 3 − 29.64 x 2 + 145.584 x + 1.31
is increasing on the interval (
Preview Question 6 Part 1 of 5 ,
Preview Question 6 Part 2 of 5 ).
It is decreasing on the interval (
− ∞ \displaystyle -\infty − ∞ ,
Preview Question 6 Part 3 of 5 ) and the
interval (
Preview Question 6 Part 4 of 5 ,
∞ \displaystyle \infty ∞ ).
The function has a local maximum at
Preview Question 6 Part 5 of 5 .
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)