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

Jazmin Strong

Jazmin Strong

Answered question

2022-04-13

Is f(x)=x3x2+x concave or convex at x=4?

Answer & Explanation

Kapovkah7hpl

Kapovkah7hpl

Beginner2022-04-14Added 14 answers

Step 1
To test if a function is concave/convex at f(a), require to find the value of f''(a)
- If f(a)>0 then f(x) is convex at x=a
- If f(a)<0 then f(x) is concave at x=a
Step 2
Hence: f(x)=x3x2+x
f(x)=3x22x+1
and f(x)=6x2
hence: f(4)=6(4)2=26
Since f(4)<0 then f(x) is concave at x=4

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?