Asked by river
                For each function below find the best linear approximation (linearization) at the given value.
 
f(x) = x^-1 at x = 2
 
y = 1/2
 
f ' (x) = -1x^-2 at x = 2 : -1/4
 
y - 1/2 = -1/4 (x-2)
y - 1/2 = -1/4x + 1/2
y = -1/4x + 1
 
Use the appropriate linearization above to find approximate values for the following, then use your calculator to find the exact values and compute the error in your approximation.
 
1/2.04
 
The error is 0.0001961 but I'm not sure how to get it. Can someone please help me?
            
        f(x) = x^-1 at x = 2
y = 1/2
f ' (x) = -1x^-2 at x = 2 : -1/4
y - 1/2 = -1/4 (x-2)
y - 1/2 = -1/4x + 1/2
y = -1/4x + 1
Use the appropriate linearization above to find approximate values for the following, then use your calculator to find the exact values and compute the error in your approximation.
1/2.04
The error is 0.0001961 but I'm not sure how to get it. Can someone please help me?
Answers
                    Answered by
            Steve
            
    well, the error is the approximate value minus the real value.
    
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