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

Trigonometric Functions - differentiation - basic expressions.
Test Yourself 1.


 

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 question with respect to x unless indicated otherwise. Express your answers in the nicest possible way :)

Simple differentiation 1. y = 5 + 2sin 3x - 4cos 5x 2. y = 3sin 8x
  3. y = sec x 4. Differentiate y = sin π with respect to x.
  5. 6.
Chain rule 7. y = 4 sin3(2x) 8.
  9. y = (tan 3x)2 10. y = sec2 x
  11. y = (cos x + sin 2x)3 12. y = (2 - cos 2x)2
  13. y = (2x - cos 2x)2 14. y = (cos2x + sin2x)2
Product rule. 15. y = 3x tan 2x 16. y = x3 cos 3x
  17. y = x cos x 18. y = sin 2x sin 4x
  19. y = sin 2x cos 2x 20. Differentiate y = 3x2 sin2 x with respect to x and express in the simplest factored form.
Quotient rule. 21. Differentiate 22. Differentiate .
  23. 24. Differentiate

with respect to t.
  25. Differentiate

with respect to t.

 26. Differentiate