Differentiation Skill Example

 Lets assume that the student asked what the solution to the below questions.   Differentiate the functions given below. 1. 2. 3. You can solve this question by seeing the solutions to the given questions below, which use the same concepts as the student’s questions.     Questions which will help you to solve your question.   Question 1: Differentiate Answer: and (Quotient rule) Where and Let  Then        (Chain rule)    Substituting, u(x), v(x), and in gives:     Determine u and v in your question, find and , then follow the above steps in the use of chain and quotient rules.   Question 2: Differentiate Answer: then (Product Rule) Let and Let  Then        (Chain Rule) Hence, and Substituting u, v, and in gives  Determine u and v in your question, find and , then follow the above steps in the use of chain and product rules.   Question 3: Differentiate Answer: Let then And where and and  (Quotient Rule) Note that and Then and (Product Rule) Substituting u, v, and in gives Now (Chain Rule) and  