Help with linear approximations. Can anyone help me out?
Using the linear approximation (1+x)^k= 1+kx(1+x)k=1+kx , find an approximation of f(x) = (4+3x)^(1/3)f(x)=(4+3x)13 .
I tried doing (1+(3+3x))^(1/3)(1+(3+3x))13 . and then I solved it and got 2+x, but that doesn't appear to be the answer! A walk through would be super nice!
Using the linear approximation
I tried doing
1 Answer
Mar 12, 2018
Explanation:
we can now use the linear approximation:
and simplifying: