Final answer:
The chain rule in multivariable calculus allows us to find the derivative of composite functions. We can use either a step-by-step approach or a calculator function to apply the chain rule.
Step-by-step explanation:
The chain rule is a powerful technique in multivariable calculus that allows us to find the derivative of a composite function. To use the chain rule with a calculator, we can either use a step-by-step approach or utilize a function on a calculator such as the TI-83, 83+, or 84.
Solution A: Step-by-step approach
- Identify the outer function (let's call it f) and the inner function (let's call it g).
- Find the derivative of the outer function f'.
- Find the derivative of the inner function g'.
- Multiply the derivative of the outer function by the derivative of the inner function.
- Simplify the expression if possible.
Solution B: Using a calculator function
- Enter the composite function into the calculator.
- Use the appropriate function on the calculator to find the derivative.
- Simplify the expression if necessary.