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How do you find the concavity for $f (x) = - 6 \sqrt{x}$ $f(x)= -6 sqrt (x)$ ?

1 Answer

Jul 4, 2018

Concave for all $x$ $x$ with $x > 0$ $x>0$

Explanation:

Writing

$f (x) = - 6 x^{\frac{1}{2}}$ $f(x)=-6x^(1/2)$

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

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

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