Question

3t(3t^2+4)^1/2

Is this product rule or chain rule

Answer 1

[AI-generated answer — Bot GPT 3.5]

This expression involves both the product rule and the chain rule.

The product rule states that when taking the derivative of a product of two functions, the derivative is equal to the derivative of the first function times the second function plus the first function times the derivative of the second function.

In this case, the function can be broken down into two functions:
- First function: 3t
- Second function: (3t^2 + 4)^1/2

To differentiate this expression, we need to apply both the product rule and the chain rule.