Chain rule with radicals, how to take the derivative

The video tutorial explains how to find the derivative of a composite function using the chain rule. It begins by identifying the parent and inside functions, then applies the chain rule to find the derivative. The tutorial provides a step-by-step calculation, resulting in the final derivative expression, and discusses alternative ways to express it.

What is identified as the parent function in the given context?

• X to the power of 1/2

• G(x)

• 3x

• F(x)

Which function is considered the inside function?

• G(x)

• F(x)

• 3x

• X to the power of 1/2

How is x to the power of 1/2 expressed in the context of derivatives?

• As x squared

• As x to the power of 1/2

• As x to the power of -1/2

• As x to the power of 2

What is the result of applying the chain rule to the function?

• X to the power of 1/2

• F(x) times G(x)

• 3x - 2

• 1/2 times sqrt(3x - 2)

What is emphasized about the expression of the derivative?

• It must always be simplified to the lowest terms

• There are multiple ways to express it

• It should be expressed as a fraction

• It should always include a square root