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How to Perform Linear Approximation Plug in the given value of the given variable a for x, then solve for the value of y to find the ordered pair. Take the derivative of the given function f to find the slope of the tangent line f'.

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The answer to the equation is 4.

Here are the steps to follow to do a linear approximation: Start by defining each part of the equation: x, a, y, f (x), f' (x), f (a), f' (a). Choose a value for a that is close Then

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the linear approximation, or tangent line approximation, of f f at x =a x = a. This function L L is also known as the linearization of f f at x = a x = a. To show how useful the linear