Simplify Expressions With Product Rule And Quotient Rule Worksheet

8 problems

Quotient rule is used to determine the differentiation of two numbers in the form of a ratio. On the other hand, product rule is a type of differentiation rule which helps to find the derivative of a given function given that the function should be in the form of two differentiable functions.  These two rules follow the concept of derivatives and limits directly.

Grade 8

Teaching Simplifying Expressions with product rule and quotient rule Easily 


  • Firstly, note down the values of g(x) and f(x) and the values of v(x) and u(x).
  • Secondly, determine the values of g(x) and f(x) and v(x) and u(x) using the product and quotient rule respectively. 
  • Lastly, simplify the equation. 


  Product Rule Formula  =D/Dx ( f(x)·g(x) ) = [g(x) × f'(x) + f(x) × g'(x)]

  Quotient Rule Formula  = f'(x) = [u(x)/v(x)]' = [v(x) × u'(x) - u(x) × v'(x)]/[v(x)]2








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