properties of a graph

[Aznable]

Hi all i'm new round here, although I have been lurking in the shadows for quite a while.

I have learned about derivatives and am beginning to become familiar with the power, quotient, product and chain rule so far.

Anyway I was hoping someone could help me with this exam question as I am not sure what it is asking:


Sorry if this is a stupid question but any help pointing me in the right direction would be greatly appreciated!

 

[Ishuda]

...
I have learned about derivatives and am beginning to become familiar with the power, quotient, product and chain rule so far.
...

What is a derivative? See
http://www.mathsisfun.com/calculus/derivatives-introduction.html
for example.

 

[Aznable]

What is a derivative? See
http://www.mathsisfun.com/calculus/derivatives-introduction.html
for example.

ah i think i get it now, so I need to find the derivative then apply it at the point f'(1.75).

thanks.

 

[Ishuda]

ah i think i get it now, so I need to find the derivative then apply it at the point f'(1.75).

thanks.

Not only find the derivative but draw, on a copy of the graph, a representation of the derivative.

 

[stapel]

ah i think i get it now, so I need to find the derivative then apply it at the point f'(1.75).

What do you mean by "applying" the derivative at the "point" f'(1.75)?

What "property of the [displayed] graph" is represented by the numerical value of f'(1.75) at the point (x, y) = (1.75, 0.15)?

In other words, what is the meaning of the derivative at a point?