Higher Order Derivatives on the TI-89 Graphing Calculator

This tutorial demonstrates how to calculate higher order derivatives using the T89 graphing calculator. It covers two examples: one involving a polynomial and logarithmic function, and another with trigonometric functions. The tutorial guides users through accessing the calculus menu, entering functions, and finding derivatives up to the fourth order. It emphasizes editing previous entries to find successive derivatives and highlights the process for both polynomial and trigonometric functions.

What is the primary focus of this tutorial?

• Solving algebraic equations

• Graphing functions

• Determining higher order derivatives

• Calculating integrals

Which key do you press to access the calculus menu on the TI-89 calculator?

• F1

• F2

• F3

• F4

How do you enter the cube root of X in the calculator?

• X raised to the power of 3

• X raised to the power of 1/2

• X raised to the power of 1/3

• X raised to the power of 2/3

What is the default derivative calculated if no additional value is specified?

• Second derivative

• Third derivative

• Fourth derivative

• First derivative

How do you modify the entry to find the second derivative?

• Add a comma 2 after the variable

• Add a comma 1 after the variable

• Add a comma 3 after the variable

• Add a comma 4 after the variable

What change is made to find the third derivative?

• Change the 2 to a 5

• Change the 2 to a 4

• Change the 2 to a 3

• Change the 2 to a 1

What is the result of the fourth derivative in the second example?

• 2 sine X

• -2 cosine X

• -2 sine X

• 2 cosine X

In the second example, what is the original function given?

• G(x) = 2 tangent X

• G(x) = 2 sine X

• G(x) = 2 secant X

• G(x) = 2 cosine X

What is the first derivative of G(x) = 2 cosine X?

• 2 cosine X

• -2 cosine X

• 2 sine X

• -2 sine X

What is the third derivative of G(x) = 2 cosine X?

• -2 sine X

• 2 sine X

• -2 cosine X

• 2 cosine X