Final answer:
To find the derivative of a composite function using a TI-83, 83+, or 84 calculator, apply the chain rule and use the calculator's derivative function. The chain rule involves taking the derivative of the outside function and multiplying it by the derivative of the inside function. Consult the calculator's manual for precise instructions.
Step-by-step explanation:
To find the derivative of a composite function using a calculator, you'll generally use two key concepts: the chain rule and calculator functions. The chain rule is a formula to compute the derivative of a composite function, and it states that if you have a function composed of two functions, f(g(x)), the derivative is f'(g(x))·g'(x). To use a calculator like the TI-83, 83+, or 84 to find this derivative, you will need to access the calculus functions. These model calculators have a function that can compute derivatives for you.
Step-by-step Solution A: You would manually apply the chain rule to the composite function. For each component function, you would calculate its derivative separately and then apply the product according to the chain rule.
TI Calculator Solution B: You first enter the composite function into the calculator, and then use the appropriate derivative function to calculate the derivative at a specific point or as a general formula. Calculator models like the TI-83, 83+, or 84 typically have built-in functions for this purpose; refer to the calculator's manual for detailed instructions.