'

Random Question & Answer

Select Category:

Differentiation Question 3l

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.