When using the chain rule in math, there are some common mistakes that students often make. Here are a few to watch out for:

1. Forgetting the Outer Function:
   Sometimes, students only find the derivative of the inner function.
   For example, if you have (y = (3x + 2)^5), you need to do the following:

• The correct derivative is (dy/dx = 5(3x + 2)^4 \cdot 3).
• But some might just write (5(3x + 2)^4) and stop there.

2. Getting Functions Mixed Up:
   It's really important to know which function is the outer one and which one is inside.
   For example, in (y = \sin(2x + 1)), the outside function is (\sin(u)) with (u = 2x + 1).

3. Missing Constants:
   Sometimes, students forget to multiply by the derivative of the inner function.
   This can lead to answers that aren't complete.

Always remember to treat the inner function like a separate part when you're finding derivatives!