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**1. Homework Statement**

**A:**Write f(x) = [tex]\sqrt{5-x^{2}}[/tex] as a composite of two functions.

**B:**Use the Chain Rule to find the derivative of f(x) = [tex]\sqrt{5-x^{2}}[/tex]

**2. Homework Equations**

Chain Rule:

y`= [tex]\frac{dy}{du}[/tex] [tex]\frac{du}{dx}[/tex]

**3. The Attempt at a Solution**

**A:**

y = [tex]\sqrt{u}[/tex]

u = 5 - x[tex]^{2}[/tex]

**B:**

This is where I get confused. I don't understand what's meant by "d" and what's meant by "y", "u", and "x".

I know the two du's cancel out in the Chain Rule so you're left with:

y`= (dy)(dx)

Does this mean the derivative of y times the derivative of x? And if so, how do you know what y and x are?