Remember that for a function f, the derivative f' gives the slope of the tangent line to the graph of f. Think of it this way: f(x) and f'(x) are two different pieces of information that you can glean from looking at the graph of y=f(x) :f(a) is the height of the point (a,f(a)),f'(a) is the slope of the line tangent to the curve at the point (a,f(a)).Let's see how that works in practice.(a) The figure on the right is the graph of a function y=f(x). At the values x=-4,-3,-2,-1,0,1,2,3 and 4, draw a tangent line to the function and visually estimate the slope of the line. Example: it looks like the tangent line at x=0 has a slope of about 0.5, so I have filled in that value in the table. Use your estimates to complete the table below.\table[[a,-4,-3,-2,-1,0,1,2,3,4],[f'(a)= slope of tangent at a,,,,,0.5,,,,]](b) Use the table to sketch the graph of f'.(c) In the figure on the right, one of these is true: either f(x) is the derivative of g(x), or g(x) is the derivative of f(x). Which is it? Justify your answer with 1-2 short sentences.