Question

How do you find the concavity for `f(x)= -6 sqrt (x)`?

Answer 1

Concave for all `x` with `x>0`

Explanation:

Writing

`f(x)=-6x^(1/2)`

`f'(x)=-3x^(-1/2)`

`f''(x)=3/2*x^(-3/2)>0`