Hey guys, I completely forgot how to do this problem, and its from the same book I've been using that's I'm still posting it in this section.
Find an equation for the line tangent to the graph of at the point (3,1) if f(x)= +2 -x+1.
I'm not sure if a formal proof is needed and if so how to do it.
The tangent at the point of the graph is .
The remaining problem is to determine . Luckily there is a formula that allows you to determine from the derivatives of like this: .
So in your case this means that
The tangent at the point of the graph is .
The remaining problem is to determine . Luckily there is a formula that allows you to determine from the derivatives of like this: .
So in your case this means that
Hey thanks so much, mental block there..and since I wasn't given any inital values I just plug in for 1 into f' and get 6 so that means my answer is 1/6?
Hey thanks so much, mental block there..and since I wasn't given any inital values I just plug in for 1 into f' and get 6 so that means my answer is 1/6?
Well, that's the slope of the tangent, but you need the entire equation of the tangent which is, as I wrote, , or, if you prefer, .