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Method and examples
Derivative
Method  

1. Find Derivative
y =
Order of derivative
Also evaluate at x =
 
  1. `2x^3-2x^2-5x+4`
  2. `log(x)`
  3. `exp(3x)`
  4. `sin^3(x)`
  5. `2log(x)+3e^x+4tan^2(x)-5sec^2(x)`
  6. `log(x)e^x`
  7. `sec^2(x)-tan^2(x)`
  8. `(x^2+1)/(x^2-1)`
  9. `x^2*sin(x)/log(x)`
  10. `asin(x)`
  11. `acos(x)`
  12. `atan(x)`
  13. `acot(x)`
  14. `acsc(x)`
  15. `asec(x)`
  16. `sqrt(x)`
  17. `3^x`
  18. `3^(2tan^2(x)) tan(x)`
  19. `2sin(tan^2(x))*3cos(x)-3cos(sin(x))+4`
  20. `2sin^3(x+tan^2(x))`
  21. `3cos(sin(x))`
  22. `e^(-2x)`
  23. `sqrt(sin(x))`
  24. `x^2*3^x*sin(x)`
  25. `e^(x^2)`
  26. `log^2(x)`
  27. `sin(x^2)`
  28. `log(log(log(x)))`
  29. `sin(e^x)`
  30. `sin(3^x)`
  31. `log(sin(x^2))`
  32. `e^(tan(x^2))sin^2(x)`
  33. `sin(cos(sin(e^x+1)))`
  34. `sin(log(cos(e^x+x^2)))`
  35. `3^x*e^(log(x))`
  36. `sqrt(x^2+1)`
  37. `2sin^3(1+tan^2(x))-3cos(sin(x))+4`
  38. `asin(3x-4x^3)`
  39. `atan((sqrt(1-x^2)-1)/x)`

2. Find maximum and minimum value of y
y =
 
 
  1. `x^3+6x^2-15x+7`
  2. `x^3-9x^2+24x+2`
  3. `4x^3+19x^2-14x+3`
  4. `3x^2+12x-15`


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