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Unformatted text preview: , &nd the derivative of f ( x ) . (b) (3 points) Find the equation of the tangents line to the graph of f ( x ) at x = 2 . 4. Find the derivatives of the following functions: (a) (3 points) f ( t ) = 2 t 3 & t 3 1 (b) (3 points) y = 1 5 x & p 2 & 3 x 2 & & 2 5. Consider the following graph of a function y = f ( x ) : f ( x ) = 8 > > < > > : & x & 2 x < & 2 ( x + 2) 2 & 2 ± x < ( x & 1) 2 + 3 ± x < 2 x & 3 2 ± x54321 1 2 3 4 51 1 2 3 4 x y (a) (2 points) Find the following limits if they exists: i. lim x ! 2 + f ( x ) ii. lim x !& 2 f ( x ) (b) (2 points) List all xvalues where f is discontinuous. Give reasons for your answers. (c) (2 points) List all xvalues where f is continuous but not di/erentiable. 2...
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 Spring '09
 Nouh
 Calculus, Derivative, Continuous function

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