To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
Answer:
The answer would be 1/40 I believe. Hope this helps :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Purple flowers: black flowers = 4:8 = 108
4 + 8 = 12
108 / 12 = 9.
9 x 4 = 36.
36 of the flowers are purple.
Gianna=3x
Xavier=x
since x=4, than multiply 4 by 3 and you get 12 miles.
Gianna skied 12 miles.
Hope this helped!! :D
