The figure shows the graph of a differentiable function f

a) determine from the graph f '(2).

Question

The figure shows the graph of a differentiable function f 

a) determine from the graph f '(2).

anonymous · Answer

attachment

anonymous · Answer

@mathmale hey! :) Can you help me here, if you're not busy?

mathmale · Answer

Very sorry for the delays.  Open Study has been up and down, and I'm in the midst of helping another person; I'll be back here as soon as possible.

mathmale · Answer

Please look at the graph, at the point (2,0).  Imagine that you were drawing a tangent line to this graph at (2,0).  Approx what would the SLOPE of that tangent line be?  That'd be the answer to (a).

mathmale · Answer

If necessary, imagine you use a ruler to draw this tangent line.  Bring the ruler up to your curve in such a way that it touches the curve ONLY at (2,0).  Draw the tangent line.

mathmale · Answer

Hint:  the slope of the tangent line to the graph at (2,0) is positive and is greater than 1 but less than 3.

anonymous · Answer

$\Huge\color{blue}{ \bf      }$

anonymous · Answer

@mathmale, thanks for replying! I was doing some of the other works, so didn't notice you wrote back... 
Is the answer then 2?

mathmale · Answer

Approximately 2, yes.  This represents a slope of 2/1, and also represents the slope of the tangent line to the given graph at (2,0).

anonymous · Answer

Okay! Thank you! :D