Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Trigonometric Functions - differentiation - basic expressions.
Test Yourself 2.


 

The questions on this page are arranged according to the following calculus techniques you will need:

1. Simple differentiation.
2. Chain rule.
3. Product rule.
4. Quotient rule.

Differentiate each of the following with respect to x unless indicated otherwise. Express your answers in the nicest possible way :)

Simple differentiation 1. 2. 5 cos (2 - x2)
  3. 4. sin (3 - 4x3)
  5. y = 3 cos 5x - 5 sin 3x 6. y = 2 tan π x + 3 cos ex
Chain rule 7. y = tan2 x 8.y = 3(1 + 2sin x)3
 

9. y = cos(sin 3x)

10.
  11. 12.
Product rule. 13. 14. y = 2sin 3x cos 2x
  15. y = x2 tan 5x 16.
  17. y = πx sin πx 18. Show that if y = 2sin 2x tan 2x,

then

Quotient rule. 19. 20.
  21. y = sec x sin 2x 22.
  23. 24.