This 8-minute video lesson looks at finding the equation of the line tangent to f(x)=xe^x when x=1. [Calculus playlist: Lesson 52 of 156]
An interactive applet and associated web page that demonstrate how to construct a tangent to a circle at a given point on the circle, using compass and straightedge. It starts with the given circle and point, and in an animation that can run without stopping or single stepped, shows how to construct the tangent line through that point. The text on the page contains written step-by-step instructions that can be printed. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet and associated web page that demonstrate how to construct the two possible tangents to a circle from an external given point, using compass and straightedge. It starts with the given circle and external point, and in an animation that can run without stopping or single stepped, shows how to construct the two tangent lines. The text on the page contains written step-by-step instructions that can be printed. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet and associated web page that demonstrate a tangent to a circle. (not trig). The applet shows a circle and a tangent line. The center point and the tangent contact point are both draggable. As you drag each, the figure changes to ensure that the line is always tangential to the circle. The line from the center to the tangent point is shown and the angle is shown to be always 90 degrees no matter what you do. The perpendicular and its angle can be turned off for class discussion. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet and associated web page that demonstrate the tangent to an ellipse. An ellipse is shown and a tangent line that touches it at the one point. The user can drag the tangent point around the ellipse and the tangent follows. The ellipse can be reshaped by dragging the foci. The applet shows the fact that the two lines from the foci to the tangent meet it at equal angles. The web page has the written properties of the tangent and links to other pages defining the various properties of an ellipse and to some ellipse constructions. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
