Difference Quotient
Given the function 6x2\displaystyle {6}{x}^{{2}}, determine the difference quotient using the following two step process

  1. Find f(x+h)−f(x)h\displaystyle \frac{{{f{{\left({x}+{h}\right)}}}-{f{{\left({x}\right)}}}}}{{h}} without simplification
  2. Find f(x+h)−f(x)h\displaystyle \frac{{{f{{\left({x}+{h}\right)}}}-{f{{\left({x}\right)}}}}}{{h}} with simplification
1. Write the difference quotient for 6x2\displaystyle {6}{x}^{{2}} without simplification

f(x+h)−f(x)h\displaystyle \frac{{{f{{\left({x}+{h}\right)}}}-{f{{\left({x}\right)}}}}}{{h}} =

 
1. Write the difference quotient for 6x2\displaystyle {6}{x}^{{2}} with simplification

f(x+h)−f(x)h\displaystyle \frac{{{f{{\left({x}+{h}\right)}}}-{f{{\left({x}\right)}}}}}{{h}} =

 

License