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