Find dy dx in the following: 1. 2x + 3y = sin x 2. 2x + 3y = sin y 3. ax + by2 = cos y 4. xy + y2 = tan x + y 5. x2 + xy + y2 = 100 6. x3 + x2y + xy2 + y3 = 81 7. sin2 y + cos xy = k 8. sin2 x + cos2 y = 1 9. y = sin1 2 2 1 x x + 10. y = tan1 3 2 3 , 1 3 x x x 1 1 3 3 < x < 11. 2 1 2 1 cos , 0 1 1 x y x x = < < + 12. 2 1 2 1 sin , 0 1 1 x y x x = < < + 13. 1 2 2 , cos 1 1 1 x y x x = < < + 14. 1 ( 2 ) 1 1 sin 2 1 , 2 2 y x x x = < < 15. 1 2 1 1 sec , 0 2 1 2 y x x = < <
Find dy dx in the following:
Question 1:2x + 3y = sin x
Question 2:2x + 3y = sin y
Question 3:ax + by2 = cos y
Question 4:xy + y2 = tan x + y
Question 5:x2 + xy + y2 = 100
Question 6:x3 + x2y + xy2 + y3 = 81
Question 7:sin2 y + cos xy = k 8. sin2 x + cos2 y = 1 9. y = sin–1 2 2 1 x x + 10. y = tan–1 3 2 3 , 1 3 x x x − − 1 1 3 3 − < x < 11. 2 1 2 1 cos , 0 1 1 x y x x − − = < < + 1
Question 2: 2 1 2 1 sin , 0 1 1 x y x x − − = < < + 1
Question 3: 1 2 2 , cos 1 1 1 x y x x − = − < < + 14. 1 ( 2 ) 1 1 sin 2 1 , 2 2 y x x x − = − − < < 1
Question 5: 1 2 1 1 sec , 0 2 1 2 y x x − = < <
