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Linear Approximation

 Given  y = x2
                      Find the equation of the tangent
                      line near x = 2




  y ­ f(a) = f '(a) (x ­ a)
y    f(a) + f '(a) (x ­ a)
What is the tangent line approximation

    of  y = ­ 4x2 + 6x + 9   near x = 2




y    10x + 25
Finding Zeros 
Using Newton's method   y = x2 ­ 3
Tangent approximation
        y  ­ f(a)       f '(a) (x ­ a)
General formula for 1 iteration


        xn+1 = xn ­ f(xn)
                    f '(xn)
Odd questions 

                Exercise 4.7


Last one for this chapter

       Test next week

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