\(\displaystyle{f{{\left({x}\right)}}}={10}{x}^{{{5}}}-{7}{x}^{{{4}}}+{x}-{4}\) concave or convex at \(\displaystyle{x}=-{1}\)?

Deegan Chase

Deegan Chase

Answered question

2022-03-29

f(x)=10x57x4+x4 concave or convex at x=1?

Answer & Explanation

davane6a7a

davane6a7a

Beginner2022-03-30Added 8 answers

Step 1
We will find the second derivative and substitute the given value of x; if
f(1)>0 then it is convex:
f(x)=50x428x3+1
f(x)=200x384x2
f(1)=20084<0
Then f is concave at x=1

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