Answer:
0 is an inflection point
1/4 is a local maximum.
Step-by-step explanation:
To begin with you find the first derivative of the function and get that
![h'(x) = 3x^2 - 12x^3](https://tex.z-dn.net/?f=h%27%28x%29%20%3D%203x%5E2%20-%2012x%5E3)
to find the critical points you equal the first derivative to 0 and get that
![3x^2 - 12x^3 = 0, x = 0,1/4](https://tex.z-dn.net/?f=3x%5E2%20-%2012x%5E3%20%3D%200%2C%20x%20%3D%20%200%2C1%2F4)
To find if they are maximums or local minimums you use the second derivative.
![h''(x) = 6x-36x^2](https://tex.z-dn.net/?f=h%27%27%28x%29%20%3D%206x-36x%5E2)
since
is neither an inflection point, and since
then 1/4 is a maximum.
The amount of the tip is 12%
Answer:
what grade r u in cause I have never seen that or I would help u out