Question

Consider the function f(x)= squareroot of (3x) 1) find the linear approximation to the function f...

Consider the function f(x)= squareroot of (3x)

1) find the linear approximation to the function f at a=4

2) use the linear approximation from part 1 to estimate squareroot of (12.6)

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Answer #1

Using the formula for finding the Linear Approximation of the given function f(x), we have L(x)= f(a)+ f'(a) (x-a). Then the second part follows from here, as explained in the solution.

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