List the inputs and outputs at each step in the chocolate making process.

We are going to use the assembly line approach to analyze a complex function with multiple parts. Let’s look at the function $$y=\sin\left(x^2-3\right)$$

The raw material is our input, or independent variable. What is the independent variable of this function?

To find the derivative of this function, we will need to consider how each link in the chain contributes to the end product.

If $$\nabla=x^2-3$$ , what is $$\frac{d\nabla}{dx}?$$

If $$y=\left(x^2-4\right)^5$$

Then $$\frac{dy}{dx}=$$