# How do you find the derivative of ?  Mercedes

Solution:

Concept:The derivative of a function is the rate of change of the function or in other words, it is the amount of change in function at a given point. It is denoted by .

The derivative of some functions are given in the table below: Calculation:

Step:1 The function is .

Now take the derivative of the above equation. Step:2 Simplify further to solve for the derivate as shown below: Step:3 From the Table 1, the derivative of cosxis . Use the value of derivative of cosx and solve further as below:  The derivative valueis .

Answer:The derivative of is .

Similar Problems:

Problem 1:What is the derivative of ?

Solution:

Step:1 The function can be written as given below: Step:2 Now take the derivative of the above equation. Step:3 From the above Table 1 shows that the derivative of cosxis , therefore solve the derivative further as below: Since , then the derivative value becomes .

Answer:The derivative of is .

Problem 2:What is the derivative of ?

Solution:

Step:1 The function can be written as given below: Step:2 Now take the derivative of the above equation. Step:3 From the above Table 1 shows that the derivative of is , therefore solve the derivative further as below: Since , then the derivative value becomes .

Answer: The derivative of is .

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