Math can be difficult to understand, but it's important to learn How to find critical numbers calculus.
We say that x = c x = c is a critical point of the function f (x) f ( x) if f (c) f ( c) exists and if either of the following are true. f ′(c) =0 OR f ′(c) doesn't exist f ′ ( c) = 0 OR f ′ ( c) doesn't
Steps for finding the critical points of a given function f (x): 1.) Take derivative of f (x) to get f ‘ (x) 2.) Find x values where f ‘ (x) = 0 and/or where f ‘ (x) is undefined 3.) Plug the values obtained
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Since we can’t factor the quadratic expression, we can use the quadratic formula to determine the critical numbers of f ( x) instead. x = − ( − 8) ± ( − 8) 2 – 4 ( 3) ( 1) 2 ( 3) = 8 ± 64 – 12 6 = 8 ± 52