Question

How would you differentiate using the product rule when there is three functions?
For instance
d|dx[f(x)*g(x)*h(x)]

Answer 1

Let z(x) = f(x)*g(x), then you get

d/dx[f(x)*g(x)*h(x)]

turning into

d/dx[z(x)*h(x)]

You can now use the product rule. You'll need to use the product rule a second time when you derive z(x) = f(x)*g(x) (when you apply the chain rule)

Answer 2

Thanks!

Answer 3

np