- #1
Gee, it would really be nice if we got a look at that expression in part (a), as mentioned in the text.Anon.ilbe said:
The chain rule is a mathematical rule that is used to find the derivative of a composite function. It allows us to find the rate of change of a function with respect to its input variables by breaking it down into smaller, simpler functions.
To apply the chain rule, you first need to identify the composite function and its individual components. Then, you take the derivative of the outer function, leaving the inner function unchanged. Finally, you multiply this derivative by the derivative of the inner function. This process is repeated if there are multiple layers of composite functions.
The product rule is a formula used to find the derivative of a product of two functions. It states that the derivative of a product of two functions is equal to the first function multiplied by the derivative of the second function, plus the second function multiplied by the derivative of the first function.
To use the product rule, you first need to identify the two functions that are being multiplied together. Then, you apply the formula by taking the derivative of each function and plugging them into the appropriate places. Finally, you simplify the resulting expression to get the final derivative.
The chain rule is used to find the derivative of a composite function, while the product rule is used to find the derivative of a product of two functions. The chain rule involves breaking down a function into smaller components, while the product rule involves taking the derivative of each function and combining them using a formula.
