This limit represents the derivative of a function f(x) at a particular number in the domain: lim as X-4 (x^3-64)/(x-4)
a) Find f(x)

b) Find a
Answer: 4

c) Find the slope of the tangent line to the graph of f(x) at x=a

Question

This limit represents the derivative of a function f(x) at a particular number in the domain: lim as X->4 (x^3-64)/(x-4) 
a) Find f(x)

b) Find a 
Answer: 4

c) Find the slope of the tangent line to the graph of f(x) at x=a

anonymous · Answer

function is the cubing function $f(x)=x^3$

anonymous · Answer

Can you explain how you got that? and that means the slope would be?
$$f \prime (x)=3x^2 $$ so $$f \prime (4) = 3*4^2$$ 
$$=48$$