Asked by Q
Find the linear approximation of the function.
g(x) = ^3sqrt(1 + x) at a = 0.
g(x)≈
Use to approximate these numbers (round to 3rd decimal)
3^sqrt(.95)
3^sqrt(1.1)
g(x) = ^3sqrt(1 + x) at a = 0.
g(x)≈
Use to approximate these numbers (round to 3rd decimal)
3^sqrt(.95)
3^sqrt(1.1)
Answers
Answered by
oobleck
g'(x) = 1/3 (1+x)^(-2/3)
g'(0) = 1/3
g(0) = 1
so the linear approximation is g(x) ≈ 1 + 1/3 x
g'(0) = 1/3
g(0) = 1
so the linear approximation is g(x) ≈ 1 + 1/3 x