Derivatives

List of derivatives established for standard functions

Topic

Derivatives

Examples

  1. Find the derivative of e^x sinx+x^ncosx
  2. Find the derivative of x/sinx
  3. Differentiate sqrt((1-cos2x)/ (1+cos2x))
  4. Differentiate f(x) =x^5 e^x+x^3 logx-2^x
  5. Find the derivatives of (secx-1)(secx+1)
  6. Find the derivatives of cos(x+a)
  7. Find the derivative of f(x) =x cosx
  8. Find the derivatives of cot^3x
  9. Find the derivatives of (x^2+1) cosx
  10. Find the derivative of 3^x+x^3+4x-6
  11. Find the derivative of function y=1+x+x^2+…+x^50 at x=1
  12. Find the derivatives of 2x^4+x
  13. Find the derivative of f(x) =sinx+cosx /sinx-cosx
  14. Find the derivatives of 5 secx+4cosx
  15. If y=sqrt(x)+1/sqrt(x), prove that 2x.dy/dx+y=2sqrt(x)
  16. Find f’(x) if f(x) =(x-2) ^2 (2x-3)
  17. If y=sqrt(x/a) + sqrt(a/x), prove that (2xy) dy/dx=x/a-a/x
  18. Find the derivative of (x-pi/8) from the first principle
  19. Find the derivative of x^3-27 from first principle
  20. Find the derivative of (x-1)(x-2) from first principle
  21. Find the derivative of 1/x^2 from first principle
  22. Find the derivative of (x+1)/(x-1) from first principle
  23. Find the derivative of sin 2x by from first principle
  24. Find the derivative of 2x-3/4
  25. Find the derivative of (5x^3+3x-1)(x-1)
  26. Find the derivative of x^(-3) (5+3x)
  27. Find the derivative of x^5 (3-6x^(-9))
  28. Find the derivative of x^(-4) (3-4x^(-5) )
  29. Find the derivative of (2/(x+1))-(x^2/(3x-1))
  30. Find the derivatives of cos x from the first principle
  31. Find the derivatives of sin⁡x cosx
  32. Find the derivative of secx
  33. Find the derivative of 5secx + 4cosx
  34. Find the derivative of cosecx
  35. Find the derivative of 3cotx + 5cosecx
  36. Find the derivative of 5sinx – 6cosx + 7
  37. Find the derivative of 2tanx – 7secx
  38. Find the derivative of (-x) from first principle
  39. Find the derivative of (-x)^-1 from first principle
  40. Find the derivative of sin(x+1) from first principle

 

 

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