Find the approximate value of f (5.001), where f(x) = x ^3 – 7x^ 2 + 15.
Find the approximate value of f (5.001), where f(x) = x ^3 – 7x^ 2 + 15.

Let   ……….(i)

  

  ……….(ii)

Changing  to  and  to  in eq. (i),

  ……….(iii)

Here,  and 

 From eq. (iii),  

Since,  and  is approximately equal to  and  respectively.

 From eq. (i) and (ii),

 

 = 

Therefore, approximate value of  is .