How to find derivatives on ti-84

A derivative is a function that measures the rate of change of another function at a given point. It is often denoted by the symbol f′(x) or dy\dx’ where y=f(x). Finding derivatives on a ti-84 calculator can be done in two ways: using the nDeriv function or using the Symbolic Derivative Solver program. In this article, we will explain both methods with examples.

Using the nDeriv function

The nDeriv function is a built-in function on the ti-84 calculator that can find the numerical value of the derivative of any function at any point. For example, suppose we want to find the derivative of the function f(x) = x^2 + 3x – 5f(x)=x2+3x−5 at the point x = 2x=2.

To find the derivative using the nDeriv function, follow these steps:

• Press the ON button to turn on the calculator.
• Press the MATH button and scroll down to the option 8:nDeriv( and press ENTER to select it.
• Enter the function, the variable, and the value of the point separated by commas. For our example, we would enter X^2+3X-5,X,2.
• Press the ) button to close the parentheses and press ENTER to calculate the derivative.

The calculator will display the derivative as 7. This means that the slope of the function f(x)f(x) at the point x = 2x=2 is 77.

Using the Symbolic Derivative Solver program

The Symbolic Derivative Solver program is a custom program that can be downloaded and installed on the ti-84 calculator. It can find the symbolic expression of the derivative of any function. For example, suppose we want to find the derivative of the function g(x) = sin(x) + cos(x)g(x)=sin(x)+cos(x).

To find the derivative using the Symbolic Derivative Solver program, follow these steps:

• Download the program from this website and transfer it to your calculator using the TI Connect software.
• Press the ON button to turn on the calculator.
• Press the PRGM button and scroll down to the option SDS and press ENTER to select it.
• Press the ENTER button again to run the program.
• Enter the function in the prompt Y1=. For our example, we would enter sin(X)+cos(X).
• Press the ENTER button to calculate the derivative.

The calculator will display the derivative as Y2=cos(X)-sin(X). This means that the expression of the derivative of the function g(x)g(x) is \cos(x) – \sin(x)cos(x)−sin(x).

Summary

In this article, we learned how to find derivatives on a ti-84 calculator using two methods: using the nDeriv function and using the Symbolic Derivative Solver program. Derivatives are useful for analyzing the behavior of functions, such as finding the maximum or minimum values, the increasing or decreasing intervals, and the concavity. We hope this article was helpful and informative. For more information on derivatives and other calculus concepts, you can check out this website.