Is \(\displaystyle{f{{\left({x}\right)}}}={5}{x}^{{{5}}}-{x}^{{{2}}}+{4}{x}+{3}\) concave or convex at

Cazzaoro0w9

Cazzaoro0w9

Answered question

2022-04-13

Is f(x)=5x5x2+4x+3 concave or convex at x=4?

Answer & Explanation

ruseducatives1t03

ruseducatives1t03

Beginner2022-04-14Added 8 answers

Step 1
Calculate the first and second derivatives
f(x)=5x5x2+4x+3
f(x)=25x42x+4
f(x)=100x32
When x=4
f(4)=100(4)32
=6402
As f(x)<0, the function 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?