How do you find local maximum value of f using the first and second derivative tests: #f(x)=x+sqrt(2-x)#?
(Some do not apply the term "critical number" at an endpoint of the domain.)
Using the First Derivative Test
(Some do not apply the term "local minimum" at an endpoint of the domain. They would disagree with my answer about that.)
Using the Second Derivative Test (for local extrema)