Is \(\displaystyle{f{{\left({x}\right)}}}=-{x}^{{5}}+{3}{x}^{{4}}-{9}{x}^{{3}}-{2}{x}^{{2}}-{6}{x}\) concave or convex at

Quinn Dean

Quinn Dean

Answered question

2022-04-13

Is f(x)=x5+3x49x32x26x concave or convex at x=3?

Answer & Explanation

jchordig1d5

jchordig1d5

Beginner2022-04-14Added 7 answers

Second derivative test was the method.
Consider f second derivative (x).
f (x)=20x3+36x254x4
Then evaluate f(x) at x=3
Answer: f3)=1022, hence, concave UPWARD

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