Is \(\displaystyle{f{{\left({x}\right)}}}=-{8}{x}^{{{5}}}-{x}^{{{2}}}+{5}{x}-{4}\) concave or convex at

Brielle James

Brielle James

Answered question

2022-04-14

Is f(x)=8x5x2+5x4 concave or convex at x=4?

Answer & Explanation

ncruuk7ikt

ncruuk7ikt

Beginner2022-04-15Added 12 answers

Step 1
To test if a function is concave/convex at f(a), require to find the value of f''(a)
Hence f(x)=8x5x2+5x4
f(x)=40x42x+5
and f(x)=160x32
f(4)=160(4)32(4)=10240+8=10248
Since f(4)>0 then f(x) is convex at x=4

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