Random Question & Answer

3. Differentiate the following functions.

 l)  

3. Differentiate the following functions.

l)    

Answer:

l)    

3. Differentiate the following functions.

  l)    

Solution: (Chain rule is used in finding the derivatives of the following functions.)

  l)    

Derivative Rules and Theorems

1. Derivative of a constant is zero.
2. Power rule: If where k and n are constants, then
3. Product of a constant and a function:
4. Sum of functions:
5. Difference of functions:
6. Composite functions (chain rule): If and then
7. Product rule: If y, u and v are functions of x and then
8. Quotient rule: If y, u and v are functions of x and then

Note that: can be written as and then the product rule may be used.