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Simplify Expressions With Product Rule And Quotient Rule Worksheet

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
Exponents
8.EE.A.1
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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

 


 

 

 

 

 

 

Why Should You Use a Simplified Expression With Quotient Rule Worksheet for Your Students? 

 

  • Solving these worksheets will help your students to easily calculate or simplify expressions with the help of quotient rule and product rule 
  • These worksheets will help your students to determine the derivative of a function in the form f(x)/g(x) and u(x) and v(x). 

Download Equations with Simplify expressions with product and quotient rule  Worksheets PDF

 

You can download and print these super fun equations with simplified expressions with quotient rule and product rule pdf from here for your students.

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

 


 

 

 

 

 

 

Why Should You Use a Simplified Expression With Quotient Rule Worksheet for Your Students? 

 

  • Solving these worksheets will help your students to easily calculate or simplify expressions with the help of quotient rule and product rule 
  • These worksheets will help your students to determine the derivative of a function in the form f(x)/g(x) and u(x) and v(x). 

Download Equations with Simplify expressions with product and quotient rule  Worksheets PDF

 

You can download and print these super fun equations with simplified expressions with quotient rule and product rule pdf from here for your students.

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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