Thread: Just want clarification please for some derived function

First off is the composite rule same as the chain rule
Second the derivative of each of the function f(x)= e^5x is it f'(x)=5e^5x and
f(x)=cos(7x) is f'(x)=-7sin7x and are they solved by using the composite/chain rule

I had never seen the phrase "composite rule" but googling it, yes, it another name for the "chain rule"- used in Britain?

And what you have for the derivatives of e^(5x) and cos(7x) are correct.

I have never heard the term "composite rule", but I imagine it would mean the chain rule. The chain rule is used to differentiate composite functions - where a function is defined in terms of other functions by applying one and then the other - like h(x) = f(g(x)).

Your derivatives are correct, and in both cases they use the chain rule.

- Hollywood

P.S. HallsofIvy - you beat me to the answer!

While I am much more familiar with the term "chain rule", it makes perfect sense that it might be called the "composition rule", considering that it is used to differentiate compositions of functions...

Thank you everyone , yeah we/ you seem to do that quite often, have different term for the same things in maths and science. Of top of my head can't remember as I have a bad hangover .