Download to read offline
P9 quotient
- 2. Examples Soone thing divided by another. 2 3 2 4x x +
- 3. y =u/v To differentiate use the formula 2 du dv v -u dy dx dx= dx v
- 4. 2 du x dx = u = x2 -5 v= 2x2 4 dv x dx = 2 2 2 2 (2 )(2 ) ( 5)(4 ) (2 ) dy x x x x dx x − − = 3 3 4 4 4 20 4 dy x x x dx x − + = 3 5dy dx x = 2 2 x -5 y= 2x
- 5. 1 Differentiate with respectto x. 2+5x u=1 du =0 dx v=2+5x dv =5 dx 2 2 dy (2+5x)0-1(5) -5 = = dx (2+5x) (2+5x)
- 6. 3 3 4 2 1. 2 4 2 3 2. 4 cos 3. 4. 31 3 3 5. sin 6. 2 x y x x x y x x y x x y x x t x x y x = + + = + = = + + = =
- 7. 3 3 4 2 1. 2 4 2 3 2. 4 cos 3. 4. 31 3 3 5. sin 6. 2 x y x x x y x x y x x y x x t x x y x = + + = + = = + + = =