MATH 0107 Lecture Notes - Lecture 16: Trigonometric Functions, Horse Length, Sxs
14 Apr 2015
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School of mathematics and statistics, carleton university (carleton university) 3 derivatives of inverse trigonometric functions (carleton university) Then the tangent line at x= a is. This tangent line can be used to approximate y= f(x) near x= a. y= f (a)(x a)+f(a) (carleton university) Suppose a function f(x) is di erentiable at x= a. The approximation: f(x) f(a)+f (a)(x a) is called the standard linear approximation(or tangent approximation) of f(x) near x= a, and is called the linearization of of f(x) at x= a. L(x)= f(a)+f (a)(x a) center of the approximation. (carleton university) Example find the linearization l(x) of f(x)= x at x= 4 and use it to approximate. 5 / 15 x at x= 4 and use it. 3. 98 2+ 1: the linearization is and . Example find the linearization l(x) of f(x)= sinx at x= ~3 . (carleton university) Example find the linearization l(x) of f(x)= sinx at x= ~3 .
