Question

find the derivative of following function from the first principle a) x cube​

Answer 1

Answer:

f(x + h) − f(x)

         h    =   (x + h)3 − x3

       h

 

   =   x3 + 3x2h + 3xh2 + h3 − x3

               h

 

   =   3x2h + 3xh2 + h3

         h

 

   =   3x2 + 3xh + h2.

 

f '(x)   =   Derivatives  (3x2 + 3xh + h2)

 

   =   3x2.