1) Find the points on the graph of y=sec x, 0≤x≤2π, where the tangent is parallel to the line 3y-2x=4.
I understand that the derivative is the slope and that the slope should be the same as the slope obtained from the line. I don't understand how to get the points from the slope.
2) A curve is parametrized by the equations x=√(t) and y=(t-3)². Find an equation of the line tangent to the curve at the point defined by t=9.
Is there two answers for this one or just one? I got an outrageous answer, like y=12x+36 when I did it.
3) Let f(x)=int x
(a) Find NDER (f(x), 3).
(b) Is your answer to part (a) a meaningful estimate of a derivative of f(x)? explain.
I'm completely boggled by this one. Firstly, I don't know how to get my grapher (TI-84 silver) to graph the NDER function. Secondly, I am not sure I completely understand the problem.
4) Sketch a possible graph of a continuous function f that has domain [-3,3], where f(-1)=1 and the graph of y=f '(x) is shown below.
Well, I'm not sure how to draw the graph on this forum, but I'll describe it: close circle at (-3,3), linear line to open circle point at (1,-2) & y=(x+2)² (a normal parabola) with open circle at (1,3) and a close circle at (3,3)．I don't understand for what the question is asking.
Any help at all would be greatly appreciated! Thanks so much!