I need help with this question any one can do it its calculus?

Question

f(x)= x^2-7x+2
a) find the exact value of f'(x) using the limit definition
b) find f' (-3)
c) find the equation of the tangent line to the graph of f at x= -3
d) find the equation of the normal line at x=-3

Answer 1

a) The function

Find the derivative of above function  by using limit definition

      

     

    

    

   

   

   

.

b) The derivative of the function is 

Answer 2

The curve

c) Find the tangent line to the graph of f at x= -3

• The equation of a tangent line to the graph of f at is

Tangent line is

d) Find the normal line to the graph of f at x =  -3

• The equation of a normal line to the graph of f at is

Normal line is .