Provide an appropriate response.Find the derivative of y = 3x2 + in each of the following ways:1) Do not combine the terms over a common denominator before finding the derivative.2) Combine the terms over a common denominator before finding the derivative.Compare the results.

Question

What will be an ideal response?

Answer 1

1) By the quotient rule,   
 = 
 = 
2) Combining the terms over a common denominator : 
 y = 3x² +   =  =  
 By the quotient rule,  =   
 =  
 = 
Both methods give the same result.