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.

Question

Kaylis [27]

4 years ago

5

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.

Mathematics

1 answer:

Leya [2.2K] · Answer 1 · 2022-02-05T15:26:38+03:00

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