start here for an introductory lesson ...
The Slope of a Curve ... an Introduction to Derivative Calculus .........
i have to determine the slope of y=2x^2 - 4x +2
isn't that a parabola? how can it have a slope or does it have two different ones? but how can a curve have a slope?
there is also another problem similar to this
y=x^2 from (-1,1) to (x,y) and it wants me to determine change in y/change in x in terms of x
Thanks!
start here for an introductory lesson ...
The Slope of a Curve ... an Introduction to Derivative Calculus .........
If we were to look for a tangent line, we end up differentiating the function. This gives us the slope of the function. However, the function has an infinite number of slopes, unless a particular x value is specified.
In our case, .
When we differentiate it, we get
This is our slope. Since there is no x value specified, there are an infinite number of slopes values that depend on the value of x, where .
I would assume that they are requesting the average slope...there is also another problem similar to this
y=x^2 from (-1,1) to (x,y) and it wants me to determine change in y/change in x in terms of x
Thanks!
The line is defined over the interval
Thus,
I hope this makes sense.
--Chris
Sorry for posting in a kind-of-old thread, but I have the same problem and I can't figure it out. The posted problem does not give a particular point to find the slope of.
Are there any examples of solving such problems, step by step and preferably with explanations?
p.s! I hope its not too difficult to understand what I just typed, my first language has loose word order and I just spent half a day translating to that. :P
e: Thanks to mr. fantastic for rewording my post. I got . What will happen to 2h?