009A Sample Midterm 2, Problem 4

From Math Wiki
Revision as of 11:52, 9 April 2017 by MathAdmin (talk | contribs) (Created page with "<span class="exam">Find the derivatives of the following functions. Do not simplify. <span class="exam">(a)   <math style="vertical-align: -5px">f(x)=x^3(x^{\frac{4}{3}}...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Find the derivatives of the following functions. Do not simplify.

(a)  

(b)     where  


Foundations:  
1. Product Rule
       
2. Quotient Rule
       
3. Power Rule
       


Solution:

(a)

Step 1:  
Using the Product Rule, we have
       
Step 2:  
Now, we have
       

(b)

Step 1:  
Using the Quotient Rule, we have
       
Step 2:  
Now, we have
       


Final Answer:  
    (a)    
    (b)    

Return to Sample Exam