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Derivatives can be calculated from graphed functions.
The values of the derivatives are:
The given parameter is:
Start by calculating the equations of f(x) and g(x)
<u>Graph f(x)</u>
The slopes of f(x) are: 3/2 and -3/2
So, the equations are:
<u>Graph g(x)</u>
The slope of g(x) is: -1/2
So, the equation is:
<u>For x = 1 and x = 2, we have:</u>
So, we have:
Where:
and
becomes
Open brackets
Differentiate
So:
For x = 3, we have:
Where:
and
becomes
Differentiate
Substitute 3 for x
Hence, the values of the derivatives are:
,
and
Read more about graphed functions at: