How do you find the intervals of increasing, decreasing and

ngihlungeqtr

ngihlungeqtr

Answered question

2022-04-20

How do you find the intervals of increasing, decreasing and concavity for
f(x)=2x3+3x2432x?

Answer & Explanation

girni67v

girni67v

Beginner2022-04-21Added 12 answers

Step 1
Values of f increase when f(x)>0 and decease when f(x)<0. Also f is concave when f(x)<0
So:
f(x)=2×3x2+3×2x432=6x2+6x432=
=6(x2+x72)=6(x+9)(x8)
f(x)<0x(9, 8)
f(x)>0x(; 9) or x(8; +)
f(x)=6×2x+6=12x+6=12(x+12)
f(x)<0x(; 12)

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