Can someone please help me figure these out?

Question

1.) Let f(x)=x
a) Find f(x+h)-f(x)/h and simplify it.
b) Find lim as h--->0
c) Find f'(x) and f'(2)

The same thing for:
f(x)=x^2
and
f(x)=x^3 

Answer 1

Given that

1)f(x) = x

Replace (x + h) ix x.

f(x) = x

 

Comments

• The function

and

• The function

and

Answer 2

From the definition of the derivatives

• 1) The function

and

 

• 2) The function

and .

Answer 3

• 3) The function

and