1. Produce the linear approximation of the given function at the specified value. f(x)=√x ;x=2 2. Using a linear approximation of f(x)= √x and an appropriate value for x, produce an approximation of √5.
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Step 1
To find the linear approximation of the function f(x) = √x at x = 2, we need to find the tangent line to the curve at that point. The tangent line is given by the equation: L(x) = f(a) + f'(a)(x - a) where a is the point at which we want to approximate the Show more…
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