Find the linear approximation of the function g (x) = (1+x) ^ (1/3) at a=0 and use it to approximate the numbers (0.95) ^ (1/3) and (1.1) ^ (1/3). Illustrate by graphing g and the tangent line.

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Sunny

Mathematics

7 August, 20:34

Find the linear approximation of the function g (x) = (1+x) ^ (1/3) at a=0 and use it to approximate the numbers (0.95) ^ (1/3) and (1.1) ^ (1/3). Illustrate by graphing g and the tangent line.

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Mariana · Answer 1

So the question ask to calculate the linear approximation of the function g (x) = (1+x) ^ (1/3) at a = 0 and base on the given in the problem and further computation of the said problem, the linear approximation of the function is y = 1/3x + 1 I hope you are satisfied with my answer and feel free to ask for more