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Further Mathematics Notes

Rules Of Differentiation

Rules for differentiation

HIGHER DERIVATIVES OF THE SECOND AND THIRD ORDER . DIFFERENTIATION OF IMPLICIT FUNCTIONS

Reading Assignment

New Further MathsProject 2 page 121 – 126

WEEKEND ASSIGNMENT

1) If y = 3x4 -7x + 5 find dy/dx a) 12x3 b) 12x3 – 7 c) 12x3 + 5 d) 12x3 + 12

2) Find the second derivative of cos 5x a) 5sin5x b) -25cos5x c) 25cos5x d) -25sin5x

3) 2) If x2y + 4xy =1 find dy/dx a) 4+2xy/x2 b) 4-2xy/x2 c) -4-2xy/x2 d) -4+2xy/x

4) Given that y = x2 + 3x + 2, find dy/dx at x = 2 a) 6 b) 4 c) 7 d) 5

5) Given that y = ( 2x + 3)4 find dy/dx a) 18(2x + 3)3 b) 4(2x + 3)4 c) 8(2x + 3)3 d) 2( 2x+3)3

THEORY

  1. Differentiate y = (2x2 -3)3/x
  2. Differentiate y = (2x+ 3)3 (4x2 -1)2

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