Can tangent line touch more than one point
WebApr 19, 2016 · No, it's a line that touches at one point. Just imagine the curve is the skin of a part of your body and the lines in questions are knives. The tangent is the one that doesn't hurt. It only touches the part it is lying on. Say for example your hand. WebSep 4, 2024 · The presumption is that the tangent line touches curve at single point only. It may be true for some curves. I cannot understand the fact that how can a tangent line touches curve at single point only provided the curve is non-convex. Most textbooks …
Can tangent line touch more than one point
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WebAs we learned earlier, a tangent line can touch the curve at multiple points. Here is an example. Again, the tangent line of a curve drawn at a point may cross the curve at … WebThe tangent line represents the instantaneous rate of change of the function at that one point. The slope of the tangent line at a point on the function is equal to the derivative of the function at the same point (See below.) Tangent …
WebThe line y=3x-2 touches the curve and has the same gradient as the function at that point, however it intersects the curve at more than one point. Explain math equations One …
WebCan a tangent line intersect the graph at more than one yes it can. Imagine a graph of alternating current. A tangent of any peak will also be tangent to all the other peaks … WebJan 13, 2024 · A tangent line to the smaller circle will pass through the larger circle at two points. No common tangent is possible here If d= a−b d = a − b, however, then d+b= a d + b = a, which means...
WebA tangent line touches the curve at one point and has the same slope as the curve does at that point. A secant line intersects at 2 or more points and has a slope equal to the average rate of change between those points. Comment ( 29 votes) Upvote Flag Show more... Scott Fitzgerald 10 years ago
WebA tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve. Let's look at two different examples of points of tangency that you may encounter in math. Point Of Tangency On A Circle flow tacticalWebIf I understand tangent lines correctly, they should only touch the curve on one point. But, if you move the angle of the line and it touches another point on the curve, it becomes secant. So, if I have 1,1 I was thinking I could use .5, 0 and 1.5, 2 as my coordinates for x= 1. But I get confused on x= 2 and x= 3. green community grantsWebAnswer (1 of 5): Not that it is a big deal, but for some reason the other answers miss one point: The tangent point doesn’t intersect the line in the point of tangency. Intersection is coming from one side and leaving from … green community group australiaWebThe intuitive notion that a tangent line "touches" a curve can be made more explicit by considering the sequence of straight lines ( secant lines) passing through two points, A and B, those that lie on the function curve. The tangent at A is the limit when point B approximates or tends to A. flow tagWebDec 24, 2024 · In general it is possible for a tangent line to intersect the curve at more than one point, depending on the function. Example 3.1.1: tangentline3 Add text here. Solution Find the tangent line to the curve y = sinx at x = 0. Solution: Use formula ( [eqn:tangentline]) with a = 0 and f(x) = sinx. Then f(a) = f(0) = sin0 = 0. flow taglinehttp://www.entrytest.com/ext-subtopic-p12/graph-functions-by-plotting-points-20440642.aspx flowtail kiteWebCurves with two or more stationary points can be used as a counterexample. An example of one of these is the cubic $y = x^3-3x+3$. The line $y=5$ is a tangent at the local maximum at $(-1,5)$, yet it also … green community health