# Tag Archives: slope

## Calculus – Addendum – Using the TI-84C to find the tangent lines of an ellipse through a specific point

Using the TI-84C to find the tangent lines In this tutorial students will learn how to use the TI-84C to graph and verify their work. The students will also learn how to convert implicit functions into explicit functions and graph using the TI-84C. The students have already found the equations of the 2 lines that… Read More »

## Calculus – Find the equations of both tangent lines to the graph of the ellipse that pass through the point (0,4) not on the graph.

Find the equations of the tangent lines problem In this tutorial the students will answer the question below using various techniques learned in calculus. The students will use what they have learned about calculus, implicit differentiation and basic algebra. Find the equations of both tangent lines to the graph of the ellipse that pass through the… Read More »

## Calculus – Implicit Differentiation – Tangent Line

Implicit Differentiation – Find the Tangent Line In this tutorial students will learn to use implicit differentiation to solve a tangent line problem. The student will create the tangent line equation at the point of tangency (1,0). The students will then use an online graphing calculator to verify their analytical results. Implicit Function Implicit Differentiation The… Read More »

## Calculus – Find the Derivative at a value of x

Find the derivative at a value of x In this tutorial the students will learn how to find the derivative of a function at a specific point. The student will find the point of tangency and the derivative. Using this information the student will then write the equation of the tangent line. Explicit Function Derivative… Read More »

## Calculus – Find the Tangent line Equation at Point (-1,1)

Find the Tangent line Equation at Point (-1,1) In this tutorial students learn how to find the equation of the tangent line given the function and the point of tangency. The students then verify the solution using the GRAPH, WINDOW, CALC, TANGENT and TRACE features of the TI-84C. Explicit Function Point of Tangency Derivative Slope Substitute… Read More »

## Calculus – Find the Equation of the Tangent Line at (1,3)

Find the Equation of the Tangent Line at (1,3) In this tutorial students learn how to find the equation of the tangent line given the point of tangency. The students then verify the solution using the GRAPH, WINDOW, CALC, dy/dx and TRACE features of the TI-84C. 1) If only the x value is given we should… Read More »

## Math Analysis – Average rate of change of a trigonometric function

Average rate of change of a trigonometric function In this tutorial students learn how to evaluate the average rate of change of a trigonometric function over a specified interval. Virginia Standards of Learning(SOL) SOL APC.6 The student will investigate the derivative at a point on a curve. This will include a) finding the slope of a curve… Read More »

## Math Analysis – Average rate of change of a Linear Function

Math Analysis – Average rate of change of a Linear Function In this tutorial students learn how to evaluate the average rate of change of a linear function over a specified interval. Virginia Standards of Learning(SOL) APC.6 The student will investigate the derivative at a point on a curve. This will include a) finding the slope of… Read More »