The function: f(x)=-x^{5}-5x^{3}-3x^{2}+12x+8 concave or convex at x=-3?

Gage Potter

Gage Potter

Answered question

2022-04-22

The function:
f(x)=x55x33x2+12x+8
concave or convex at x=3?

Answer & Explanation

pecanjima9vo

pecanjima9vo

Beginner2022-04-23Added 11 answers

Step 1
We calculate the first and second derivative
f(x)=x55x33x2+12x+8
f(x)=5x415x26x+12
f(x)=20x330x6
And
f(3)=20(3)330(3)6
=20(27)+906
=624
Therefore,
As f(3)>0, the curve is convex at x=3

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