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Find the Taylor polynomial of degree $n$ centered at the number $a$.$f(x)=\sqrt{x}, \quad n=2, \quad a=4$
$T_{2}(x)=f(a)+f^{\prime}(a)(x-a)+f^{\prime \prime}(a) \frac{(x-a)^{2}}{2 !}=2+\frac{1}{4}(x-4)-\frac{1}{64}(x-4)^{2}$
Calculus 1 / AB
Chapter 3
Derivatives
Section 8
Linear Approximations and Taylor Polynomials
Missouri State University
Harvey Mudd College
University of Michigan - Ann Arbor
University of Nottingham
Lectures
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