# Tag Archives: derivative

## Calculus – Absolute Maximum and Minimum

## Calculus – Limits Indeterminate Form

Limits Indeterminate Form In this tutorial students learn how to evaluate the limit of a function when direct substitution results in the indeterminate form of infinity times 0. Rewrite the function so that a different indeterminate form is created and then L’hopital’s Rule can be applied. Virginia Standards of Learning(SOL) APC.2, APC.8

## Algebra – Find the vertex of the quadratic equation

Find the vertex of the quadratic equation In this tutorial students learn how to find the vertex of a quadratic equation (parabola) using various methods. Those methods include graphing with the TI 84 C, calculus, and algebra methods like completing the square. When using the calculator I could have also used the MINIMUM function. 2ND |… Read More »

## Calculus – Addendum: Derivative of f(x)=9/x Find the equation of the Tangent Line at x = 3

Addendum: Derivative of f(x)=9/x In this tutorial the students will learn how to use the power rule to find the derivative, create the equation of the tangent line and verify the results with the TI-84 graphing calculator. Explicit Function Point of Tangency Substitute in the value of x, 3, into the function to find the… Read More »

## 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 – Tangent Line at a point using Implicit Differentiation

Implicit Differentiation 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. Implicit Function Implicit Differentiation Substitute in point (2,1) to calculate the slope Tangent Line 1) If only… 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 Tangent Line Equation at Point (2,1)

Find the Tangent Line Equation at Point (2,1) In this tutorial students learn how to find the the equation of the line tangent to a function at the given point. This point is also known as the point of tangency. The students then verify the results using the TI-84C graphing calculator. The students will use… Read More »