Determine the critical number (s) of the function f(x) = x^3 – 5x^2 + 3x
a) 3 and 0
b) 5/3 and 0
c) 5 and 3
d) 3 and 1/3
2007-04-18 03:51:36 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Take the derivative and set it to zero,
3x^2 - 10x + 3 = 0
3,1/3
2007-04-18 03:58:48 · answer #1 · answered by Ted D 2 · 0⤊ 0⤋
So you take the d erivative, which is 3x^2-10x+3, and then you find when that is zero with the quadratic formula, so (10+/-sqrt(100-36))/6, which is (10+/-8)/6, which is 18/6 or 2/6, so the answer is d.
2007-04-18 11:00:14 · answer #2 · answered by Norman McPantsalot 2 · 0⤊ 0⤋
the derivative is
3x^2-10x+3 the roots are 3 and 1/3
so answer d
2007-04-18 10:58:05 · answer #3 · answered by maussy 7 · 1⤊ 0⤋
a or b is correct. Critical numbers are minima or maxima of a function. 0 is the minimum.
2007-04-18 10:57:22 · answer #4 · answered by Anonymous · 0⤊ 0⤋
bring out x
f(x)=x(x²-5x+3)
x=0
so we could narrow down the choices To A or B
whoosh!! :)) hahha..?
2007-04-18 10:56:04 · answer #5 · answered by Jami 3 · 0⤊ 0⤋