Let f(x) = x/√(4 – x). The f ’(x) = 8 – x /(8 – 2x)√(4 – x). What are the critical numbers of f(x)?
a) x = 8
b) x = 8, x =4
c) x = 4
d) x < 4
2007-05-30 03:53:08 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
b
2007-05-30 03:56:10 · answer #1 · answered by Ben 2 · 0⤊ 0⤋
All answers are wrong, and this function has no critical numbers. We know that square root of negative number is not a real number, and we don't divide any number by zero. Because of this denominator must be greater than zero. When x is some number near 4, f(x) is infinite, and if x is greater then four (or it is four) f(x) is not defined. Domain of this function is Dx = (-â, 4). In this case, for all x greater or equal 4 function are not define, and result of the equation f ’(x) = 8 – x /((8 – 2x)â(4 – x)) is x = 8 (eight is beyond four). Sorry.
2007-05-30 11:47:57 · answer #2 · answered by Alas 2 · 0⤊ 0⤋
a) x = 8
2007-05-30 10:56:13 · answer #3 · answered by iyiogrenci 6 · 0⤊ 0⤋
b
because the 8-x if x=8 then its 0 and 4-x if x=4 then its undefined
2007-05-30 11:01:17 · answer #4 · answered by Anonymous · 0⤊ 0⤋
well there is an easy answer and a hard answer
i dont know either one of then so sorry
2007-05-30 11:01:51 · answer #5 · answered by Evan P 2 · 0⤊ 0⤋