fx tanh x, a 0
Chapter 5, Problem 41(choose chapter or problem)
Linear and Quadratic Approximations In Exercises 41 and 42, use a computer algebra system to find the linear approximation
\(P_1(x)=f(a)+f'(a)(x-a)\)
and the quadratic approximation
\(P_2(x)=f(a)+f'(a)(x-a)+\frac{1}{2}f''(a)(x-a)^2\)
of the function f at x = a. Use a graphing utility to graph the function and its linear and quadratic approximations.
f(x) = tanh x, a = 0
Text Transcription:
P_1 (x) = f(a) + f’(a)(x-a)
P_2 (x) = f(a) + f’(a)(x-a)+1/2 f’’(a)(x-a)^2
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