MATH-1070 Chapter Notes - Chapter 4: Approximation Error
29 Jun 2016
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Creating linearization equation: find equation of tangent line and put in slope intercept form, switch y to other side of equation. You can use the equation of tangent to estimate function value at point x, when you cannot plug x into function and solve by hand/also by plugging in point z in to the linearization equation. This is so finding the derivative is easier to evaluate. So find your tangent line equation using your new x value. Then plug in original x value into linearization equation to get approximation of original equation with original x. Use new equation to find slope and y point for tangent and linearization. Dy = f"(x) dx: find derivative, change y to dy and add dx at the end of the equation, don"t forget the ( ) Just plug in these numbers to your dy equation. Delta y is the true change in function.
