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### Differentiation Question 3l

3. Differentiate the following functions.

l)

3. Differentiate the following functions.

l)

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.