Chain Rule & Product Rule

What is the chain rule used for?

Differentiating composite functions — a function nested inside another function, like f(g(x))

State the chain rule for d/dx[(g(x))ⁿ].

n·(g(x))ⁿ⁻¹·g'(x)

What is the product rule used for?

Differentiating the product of two functions, u(x)·v(x)

State the product rule for (uv)'.

(uv)' = u'v + uv'

If f(x) = (3x + 1)², what is f'(x)?

6(3x + 1)