I am currently experiencing some problems doing my review , for my quiz tomorrow! Basically, we are learning about instantaneous rate of change , which is section 2.2 (quiz on 2.1-2.2) . And then while I was going through the notes the last parts I had trouble on! Basically, these were the


Above: enter image description here

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b. Draw the tangent line at the data point for the time 1:17pm.

Well as you can see I have drawn the tangent line on the Picture above labeled Above .

But my problems are on when it says

Tangent Line at Point P . I don't understand what I am suppose to do there :/ . Also, you can see I didn't fill out the third Blank:

So the Instantaneous rate of change at Point P is the _________________ of the tangent line at point P.

If anyone can help me on these 2 problems , that would be greatly appreciated! Thanks a bunch for reading!


I cannot read the first question, but I think the second one is a very important concept to get. The derivative is the slope of the tangent line. A derivative at a point is the slope of the tangent line at that point. Hopefully, this diagram will make this clearer to you. http://www.math.umn.edu/~arnold/calculus/differential/differential-g.html

  • $\begingroup$ yea i latter got the second one , as the missing letter was the word slope .. The first one says "Tangent Line at Point P ." , as i said in the words section.. Any hints on that? $\endgroup$ – amanuel2 Oct 12 '16 at 22:08
  • $\begingroup$ the word you are looking for is slope $\endgroup$ – Riemann-bitcoin. Oct 12 '16 at 22:11
  • $\begingroup$ Since the derivative evaluated at a point is the Instantaneous rate of change at that point $\endgroup$ – Riemann-bitcoin. Oct 12 '16 at 22:13
  • $\begingroup$ Yes thats the second question. You know the answer for first one? Thats the reallllyy troublinng one!! :( $\endgroup$ – amanuel2 Oct 12 '16 at 22:21

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