Show below is a plot of f(x) identify all critical points. Draw a picture of f'(x), using information about increasing, decreasing, and concavity.
So here is a plot of the function as given (blue),
and its derivative. The roots of the derivative are
the critical points.
The derivatives of the follwing 3 functions on the left are in a different order on the right. Match up the functions and the derivatives.
So. On the left A, B, C, and 1,2,3 on the right,
match up as: A3, B1, C2
a) Use differentials to approximate .
b) Find a function f(x), such that is a root. Use a function that will be useful for Netwon's method. (Note: This is different from the function in part a). Using the answer to a) as the original guess, do ONE step of Newton's method.
This is the formula you use