Question: In this problem we estimate 67 using linear approximation. Let f(x)=x and a = 64. 0, Then f'(x) = f(a) = and f'(a) :

In this problem we estimate 67 using linear approximation. Let f(x)=x and a = 64. 0, Then f'(x) = f(a) = and f'(a) : == 1 264 so the equation of the tangent line to f through the point (a, f(a)) is: L(x) = f'(a)(x a) + (a) - = - -(x 64) + L() So finally we can approximate: 67 = 1(67) = L (= (67 64) (6764) + 67 131 =4+ = 16 16

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