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Calculus :Tutorial 4

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Calculus :Tutorial 4

  1. 1. PMB 3004: Calculus Tutorial 41. Use the first principle to find the derivatives for the following functions: a) f ( x)  5 c) f ( x)  1  3x t 2 1 b) f ( x)  2 x2  2 x d) s(t )  t2. Differentiate the following functions: a) y  0 1 x2 b) y   3x e) y = 3 3x 2 10 f) y = 2 x 4  4 x 3  1 c) y  2 x3  . x 2 x  5x2 g) y = 2 x 2  3x 3 d) y  x h) f ( x)  (3x  1)(7 x  2) j) h( x)  x 2 (2 x 2  5) i) g ( x)  (5  3x)( x3  2 x 2 ) k) y  ( x 2  3x  2)(2 x 2  x  3) 2 6  2w l) y  (7)( ) o) h( w)  3 w2  4 2x  3 v5  8 m) y  p) u (v)  4x 1 v f ( x)  5x x 5 n) q) y  x 1 8 x

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