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Linear and Quadratic Approximations The linear and quadratic approximations of a function f at
are
and
In Exercises 119-120, (a) find the specified linear and quadratic approximations of f, (b) use a graphing utility to graph f and the approximations, (c) determine whether
or
b the better approximation, and (d) state how the accuracy changes as you move farther from .
Linear and Quadratic Approximations
In Exercises 69-72, use a graphing utility to graph the function. Then graph the linear and quadratic approximations
in the same viewing window. Compare the values of f, , and
and their first derivatives at .
How do the approximations change as you move farther away from ?
Function Value of a
Linear and Quadratic Approximations In Exercises 69-72, use a graphing utility to graph the function. Then graph the linear and quadratic approximations
and their first derivatives at
. How do the approximations change as you move farther away from
?