Posted by Alex on Thursday, October 3, 2013 at 8:50pm.
Use the linear approximation (1+x)^k\approx 1+kx to find an approximation for the function f(x) for values of x near zero.
I need help for (3+3x)^(1/3). Please help me!

Calculus  Steve, Friday, October 4, 2013 at 12:39am
f'(x) = (3x+3)^(2/3)
f'(0) = 3^(2/3)
f(0) = 3^(1/3)
So, near x=0,
y3^(1/3) = 3^(2/3) x
you can see this graphically at wolframalpha.com if you enter
plot y = (3+3x)^(1/3),y = 3^(2/3) x + 3^(1/3) for 1<x<1

Calculus  Alex, Friday, October 4, 2013 at 7:38pm
Thanks a lot Steve!
Answer This Question
Related Questions
 calculus  Use the linear approximation (1+x)^k=1+kx to find an approximation ...
 Math  Use the linear approximation (1+x)^k=1+kx to find an approximation for ...
 calculus  Use the linearization approximation (1+x)^k=1+kx to find an ...
 calculus  Use the linearization approximation (1+x)^k=1+kx to find an ...
 linear approximation  a) Find the linear approximation of the function f(x)=...
 Calculus  Suppose that you can calculate the derivative of a function using the...
 calc  For each function below find the best linear approximation (linearization...
 MATH: Need help please  Find the linear approximation of f(x)=\ln x at x=1 and...
 Linear Approximation  Use linear approximation, i.e. the tangent line, to ...
 calculus  se differential, i.e., linear approximation, to approximate (8.4)^(1/...
More Related Questions