no.... this is for the most part correct, however your graph at the end of f(x) doesn't agree with what you determined earlier. Because x = 0 is a zero of the equation for f ' (x), the slope of f(x) at x=0 must be horizontal. This doesn't change the direction of the curve to create another local max or min, but the slope is 0. This may not seem important to the first derivative test, but it is essential to the second derivative(f ' ') test and determining concavity. just trying to help.
@And4MixtapeTour i'm not trying to be a smart ass
And4MixtapeTour 1 year ago
no.... this is for the most part correct, however your graph at the end of f(x) doesn't agree with what you determined earlier. Because x = 0 is a zero of the equation for f ' (x), the slope of f(x) at x=0 must be horizontal. This doesn't change the direction of the curve to create another local max or min, but the slope is 0. This may not seem important to the first derivative test, but it is essential to the second derivative(f ' ') test and determining concavity. just trying to help.
And4MixtapeTour 1 year ago
thanks a lot!
therotaryrocket 2 years ago
Thanks for this. It really helped me out.
ElmoPansy 2 years ago
lol zorro. thanks
Portaytoe 2 years ago