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.

Question

Mathematics

Kaley Crosby

19 February, 04:18

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.

+4

Answers (1)

Know the Answer?

Manning · 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