Critical points is where the derivative (slope) is zero or does not exist. So to do this we have to find the derivative of our function:
So we apply chain rule:
=
Set our first derivative to zero and solve for x:
3(x^2 - 1) * 2x = 0
So we can see that (by plugging in) 0, -1 and 1 makes our solution true
So our critical value is x = 0, x = -1, x = 1
Answer:
(0.5,0) , (-3,0) ,and (0,-1.5)
Step-by-step explanation:
Just look where the points touch the x- and y-axis.
It touches twice on the x- and once on the y-axis.
Hope that helps!
Answer:5
Step-by-step explanation:
Since Michelle (he ? ) has 11/12 quarts of paint, and need 1/6 per quart to paint, we do 11/12 / 1/6 = 11/2, or 5.5. We cannot paint .5 of a block, so Michelle can only paint 5 quarts.
Answer:
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval 
will be given by the following equation:
In this problem, we have that:
Find the average rate of change in the balance over the interval t = 0 to t = 5.
Then
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
You have to switch the 8 to the left and the y to the right which would change the equation to 9-8=y
y=1
