Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Calculus - Differentiation - the Product Rule.
Test Yourself 2.


 

Differentiate each of the following equations using the Product Rule with respect to the relevant pronumeral:

No rule. 1.   2.
One bracket. 3. y = 6x (3x + 1)4    
  5.   6. Given f(x) = (x + 1)(x - 1)5 find values a and b such that f '(x) = (ax + b)(x - 1)4
Two brackets - could expand but do as product rule for practice. 7.    
Two brackets - higher power - proper Product Rule:) 9.    
  11.    
Two brackets - both with powers. 13.    
Surds. 15. Show that the derivative of can be expressed as