Question

Let .
Find the differential whenand

Find the differential whenand

Recall that linear approximation uses thevalues of a tangent line to approximate valuesof a function. Use this method to approximate asfollows:
Let . The equation of the tangent line toat can be written in the formwhere: = and b=,Using this, we find our approximation foris:

Recall that linear approximation uses thevalues of a tangent line to approximate valuesof a function. Use this method to approximate asfollows:
Let . The equation of the tangent line toat can be written in the formwhere =: and b= ,Usingthis, we find our approximation for is

NOTE: For this part, give your answer to at least 5 placesafter the decimal, or use fractions in your answer.