Question

How would I find the critical numbers after finding the f'(x)

Answer 1

\[f'(x) =\frac{ 100x-5x^2 }{ 2\sqrt{25-x} } \]

Answer 2

Critical numbers are found when \[f \prime(x) = 0\] or
\[f \prime(x) = DNE\]

Answer 3

Okay so is it correct that the only critical points are 0, 25, 20 since you can factor the f'(x) I posted above to

\[-\frac{ 5(x-20)x }{ 2\sqrt{25-x} }\]

Answer 4

That's correct!

Answer 5

Thanks!

Answer 6

No problem!