Answer:
(-6,-1)
Step-by-step explanation:
let b be x2,y2
then apply mid point formula
x=(x1+x2)/2
y=(y1+y2)/2
9514 1404 393
Answer:
(e) f′(x)=2xg(x)+x²g′(x)
Step-by-step explanation:
The product rule applies.
(uv)' = u'v +uv'
__
Here, we have u=x² and v=g(x). Then u'=2x and v'=g'(x).
f(x) = x²·g(x)
f'(x) = 2x·g(x) +x²·g'(x)
Answer:
The average rate of change is -2
Step-by-step explanation:
we know that
To find out the average rate of change, we divide the change in the output value by the change in the input value.
In a linear function the average rate of change is a constant and is equal to the slope of the function
The linear function in slope intercept form is equal to
![f(x)=mx+b](https://tex.z-dn.net/?f=f%28x%29%3Dmx%2Bb)
where
m is the slope or unit rate of the linear function
b is the y-intercept or initial value of the linear function
In this problem we have
![f(x)=-2x+70](https://tex.z-dn.net/?f=f%28x%29%3D-2x%2B70)
so
![m=-2\\b=70](https://tex.z-dn.net/?f=m%3D-2%5C%5Cb%3D70)
therefore
The average rate of change is -2