Question

Let f(x)=5-4/x for 1≤x≤4.
a.) Assume f(x) is continuous on [1,4] and differentiable on (1,4); Find the c-value(s)
guaranteed by the Mean Value Theorem.
b.) Sketch the Tangent Line(s) and Secant Line guaranteed by this Theorem.

Answer 1

I got as far as f'(c)= \[(f(4)-f(1))/4-1\]
and \[f'(c)=1\]

Answer 2

and f'(x)=?

Answer 3

I got it now thanks

Answer 4

cool stuff