Derivative Formulas
In the following, u and v are functions of x, and n, e, a, and k are constants.
1. The Definition of the Derivative.
2. The
derivative of a constant is zero.
3. The derivative of a
constant times a function.
4. The Power Rule (Variable raised to
a constant).
5. The Sum Rule.
6. The Difference Rule.
7. The Product Rule.
8. The Quotient Rule.
9. The Chain
Rule.
10. Another Form of the Chain Rule.
11. The Derivative of the Sine.
12. The Derivative of the Cosine.
13. The Derivative of the
Tangent.
14. The Derivative of the Cotangent.
15. The Derivative of the Secant.
16. The Derivative of the Cosecant.
17. The Derivative of the Inverse Sine.
18. The Derivative of the Inverse
Cosine.
19. The Derivative of the Inverse
Tangent.
20. The Derivative of the Inverse
Cotangent.
21. The Derivative of the Inverse Secant.
22. The Derivative of the Inverse Cosecant.
23. The Derivative of the
Natural Log.
24. The Derivative of the log to
base a.
25. The Derivative of e
raised to a variable.
26. The Derivative of a
constant raised to a variable.