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Consider the function f(x) = √ 4 - x a) Find the linear approximation of the f…

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Wize University Calculus 1 Textbook > Applications of Differentiation

Linearization (Linear Approximation)

4 Activities

Consider the function
f(x)=4−xf(x) = \sqrt{ 4 - x}
a) Find the linear approximation of the function f(x)f(x) near x=0x = 0 .

b) Use the linear approximation from part a) to approximate the value of 3.9\sqrt{3.9} .

c) The person beside you writing this exam manages to whisper the following tip to you: 'To quickly estimate the cube root of a number near 2, just add or subtract the number you have from 2 and quarter the result.' Is the person beside you correct, or will he lead you down the wrong path?




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