Is \(\displaystyle{f{{\left({x}\right)}}}=-{3}{x}^{{{5}}}-{2}{x}^{{{4}}}-{9}{x}^{{{2}}}+{x}-{7}\) concave or convex at

Dakota Livingston

Dakota Livingston

Answered question

2022-04-14

Is f(x)=3x52x49x2+x7 concave or convex at x=5?

Answer & Explanation

firyemv3

firyemv3

Beginner2022-04-15Added 10 answers

Step 1
f(x)<0 at x=5 (concave)
f(x)>0 at x=5 (convex)
f(x)=15x48x318x+1
f(x)=60x324x218
f(5)=60(125)24(25)18=8118
Less than zero, therefore concave.

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