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Exercise 2.5.3X: What is the equation for the tangent line to the graph of = ^ at X=2? Exercise 2.5.4X: a) Find the linear approximation

Exercise 2.5.3X: What is the equation for the tangent line to the graph of = ^ at X=2?

Exercise 2.5.4X:

a) Find the linear approximation (in other words the tangent line approximation) to the function ()=^3 at =1.

What is ()? 0 What is the slope of the tangent line at = 1? ()

b) Using part (a), what is the approximate value it gives for (1.2)? (give 4 digits past the decimal point).

(1.2)

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