Taylor's Theorem and Error in Tangent Line Approximations
In this tangent line approximation worksheet, students answer two essay questions about the approximation error when related to a function. They answer three short answer problems. Students graph one function and its tangent line.
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Differentiability and Horizontal and Vertical Tangent Lines
Use slope to find the location of horizontal and vertical tangent lines. Using the derivative of a radical function, the presenter finds the points where the derivative is zero or undefined on a given interval. The 26th in a series of 31...
14 mins 11th - Higher Ed Math
Value that Makes Two Tangent Lines Parallel
Perform parallel calculations to find equal slopes. Using the formula for the equation of the tangent line to a point, the resource sets out to find two points with a difference of one that have parallel tangent lines.The 25th video in a...
15 mins 11th - Higher Ed Math
Equation of the Normal Line at a Point
Is it normal to find a perpendicular line to the tangent line? The short video provides a problem to find the equation of the normal line to a function. Beginning with an explanation of the normal line, the 27th installment in a 31-part...
5 mins 11th - Higher Ed Math
Calculus: Derivatives 2 (new HD version)
Sal continues where he left off with the last video, ï¿½Derivatives 1,ï¿½ by looking at the equation y = x2 and examining the slope of the secant line at a specific point. He continues with defining the limit as _x approaches zero to get...
8 mins 11th - Higher Ed Math
Tangent Line Approximation: Estimating Square Roots
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
11th - Higher Ed Math
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
11th - Higher Ed Math