the function f(x) = 8x^3 - 24x + 3 has two critical numbers.
the smaller one = ?
the larger one = ?
the smaller one = ?
the larger one = ?
-
to find the critical numbers you just take the derivative of the function, then find the "zeros"
so the derivative of this function is
= 24x^2 - 24
= 24(x^2 -1)
= 24(x+1)(x-1)
critical numbers = -1,0,1
so the derivative of this function is
= 24x^2 - 24
= 24(x^2 -1)
= 24(x+1)(x-1)
critical numbers = -1,0,1
-
Differentiate the function with respect to x:
f'(x) = 24x^2 - 24
When f'(x) = 0
24(x^2 -1) = 0
==> x = 1 or x=-1
Matey before me didn't do the last part HA!!!!
you need to plug your values of x into the f(x)
when x = 1, f(x) = 8 -24 +3 = -13
when x = -1, f(x) = -8+24+3 = 19
f'(x) = 24x^2 - 24
When f'(x) = 0
24(x^2 -1) = 0
==> x = 1 or x=-1
Matey before me didn't do the last part HA!!!!
you need to plug your values of x into the f(x)
when x = 1, f(x) = 8 -24 +3 = -13
when x = -1, f(x) = -8+24+3 = 19