Is \(\displaystyle{f{{\left({x}\right)}}}={1}-{x}{e}^{{-{3}{x}}}\) concave or convex at

Karlie Mays

Karlie Mays

Answered question

2022-04-13

Is f(x)=1xe3x concave or convex at x=2

Answer & Explanation

ysnlm8eut

ysnlm8eut

Beginner2022-04-14Added 14 answers

Answer: function is convex at x=2
Step 1
Given function: f(x)=1xe3x
f(x)=x(3e3x)e3x(1)
f(x)=e3x(3x1)
fx)=e3x(3)+(3x1)(3e3x)
Step 2
fx)=e3x(69x)
f2)=e6(69(2))
=24e6
Since f(2)>0 hence the given function is convex at x=2

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