For what values of x is \(\displaystyle{f{{\left({x}\right)}}}={x}^{{{4}}}-{x}^{{{3}}}+{7}{x}^{{{2}}}-{2}\)

ICESSRAIPCELOtblt

ICESSRAIPCELOtblt

Answered question

2022-03-26

For what values of x is f(x)=x4x3+7x22 concave or convex?

Answer & Explanation

kaosimqu5t

kaosimqu5t

Beginner2022-03-27Added 10 answers

Step 1
Find f(x)
When f(x)0, f(x) is Concave upward
When f(x)0, f(x) is Concave Downward
f(x)=x4x3+7x22
f(x)=4x33x2+14x
f(x)=12x26x+14
f(x)0
12x26x+140
This is true for all real numbers f(x) is concave upward for R.

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