\(\displaystyle{f{{\left({x}\right)}}}={4}{x}^{{{5}}}-{12}{x}^{{{4}}}+{5}{x}^{{{2}}}+{2}{x}+{2}\) concave or convex at \(\displaystyle{x}=-{5}\)?

resaplaha7dl

resaplaha7dl

Answered question

2022-03-29

f(x)=4x512x4+5x2+2x+2 concave or convex at x=5?

Answer & Explanation

ostijum8dd

ostijum8dd

Beginner2022-03-30Added 7 answers

Step 1
f(x)=4x512x4+5x2+2x+2
f(x)=20x448x3+10x+2
f(x)=80x3144x2+10
f(5)=80(5)3144(5)2+10
f(5)=100003600+10=13590
Definitely negative, so it is concave.

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