Calculus Concepts with TI-84

This video tutorial from the Worldwide Center of Math demonstrates how to use the TI-84 graphing calculator for calculus functions. It covers numerical derivatives and definite integrals, showing step-by-step instructions on how to input and calculate these functions. Additionally, the video explains how to graph derivatives and integrals using the calculator. The tutorial concludes with information on where to find more math resources.

What are the two main calculus functions available on the TI-84 calculator?

• Symbolic derivatives and indefinite integrals

• Numerical derivatives and definite integrals

• Symbolic derivatives and definite integrals

• Numerical derivatives and indefinite integrals

Where can you find the numerical derivative function on the TI-84 calculator?

• Under the 'Vars' menu

• Under the 'Calc' menu

• Under the 'Math' menu

• Under the 'Graph' menu

What is the first step in calculating a numerical derivative on the TI-84?

• Enter the function to differentiate

• Choose the point of evaluation

• Set the limits of integration

• Select the variable to differentiate with respect to

What result do you expect when evaluating the derivative of x^2 at x = 13?

• 2

• 13

• 169

• 26

How do you access the definite integral function on the TI-84?

• By selecting option 9 under the 'Math' menu

• By pressing the 'Graph' button

• By using the 'Vars' button

• By entering the 'Calc' menu

What is the integral of 2x from 3 to 5?

• 32

• 10

• 16

• 8

What can you do with the derivative and integral functions besides calculating them?

• Perform matrix operations

• Find limits

• Solve equations

• Graph them

What does the TI-84 graph when you input the derivative of x^2?

• A parabola

• A hyperbola

• A line

• A circle

What is the general derivative of x^2?

• x^2

• 4x

• x

• 2x

What is the purpose of entering 'xal to X' when graphing a derivative?

• To calculate the derivative at multiple points

• To solve an equation

• To calculate the derivative at a single point

• To find the integral