Using TI-84 for Derivatives

This video tutorial demonstrates how to determine the value of a derivative function using the newer version of the TI-84 calculator. It covers two examples: one involving a polynomial function and another involving a trigonometric function. The tutorial explains the steps to input the function, set the calculator to the correct mode, and interpret the results, including recognizing potential calculator errors.

What is the primary function of the TI-84 calculator in this lesson?

• To determine a derivative function value at a given input

• To find the derivative function

• To solve algebraic equations

• To graph functions

In Example 1, what is the function given for calculating the derivative?

• f(x) = x^2 + 3x + 2

• f(x) = x^3 - 2x + 1

• f(x) = 3x^2 - 4x + 5

• f(x) = 2x^3 - x^2 + 5x - 7

What is the correct derivative function value for f'(2) in Example 1?

• 28

• 25

• 22

• 20

What is the first step in inputting the polynomial function into the TI-84 calculator?

• Press the graph button

• Enter the function directly

• Switch to degree mode

• Press the math button and select option 8

Which key is used to exit the exponent position when inputting a function on the TI-84?

• Left arrow

• Right arrow

• Up arrow

• Down arrow

In Example 2, what is the function given for calculating the derivative?

• f(x) = cos(x) - tan(x)

• f(x) = tan(x) - sin(x)

• f(x) = sin(x) + cos(x)

• f(x) = sin(x) - cos(x)

What mode should the calculator be in for Example 2?

• Scientific mode

• Graphing mode

• Radian mode

• Degree mode

What is the approximate value of f'(3) in Example 2?

• -1.1614

• -1.2614

• -1.3614

• -1.0614

What does the derivative function value tell us about the function at a specific point?

• The y-intercept of the function

• The minimum value of the function

• The slope of the tangent line at that point

• The maximum value of the function

What should you do if the calculator is not in the correct mode for evaluating trigonometric functions?

• Turn off the calculator

• Reset the calculator

• Switch to radian mode

• Switch to degree mode