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

Joaquin Salas

Joaquin Salas

Answered question

2022-04-15

Is f(x)=x52x26x+3 concave or convex at x=4?

Answer & Explanation

chabinka61jx

chabinka61jx

Beginner2022-04-16Added 12 answers

Step 1
Calculate the first and second derivatives
f(x)=x52x26x+3
f(x)=5x44x6
f(x)=20x34
Therefore, when x=4
f(4)=20(4)34
=12804=1276
As f(x)>0, the functiom is convex at x=4

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