Question

Applying the Mean Value Theorem with a = 1, b=4 to the function in the figures below leads to c=2. what is the equation of the tangent line at 2?

Answer 1

you can get tangent line from using point-slope form
\[y - y_1 = m(x-x_1)\]
x1 = 2
y1 = f(2)
m = dy/dx = f'(2)