Question

Please show proof of Chain Rule

Answer 1

This is the proof that I was shown when I learnt the chain rule http://math.rice.edu/~cjd/chainrule.pdf

Answer 2

thank you so much, i will be sure to check it out!

Answer 3

What is there to prove. If u is differentiable function of x and x is differentiable function of t then u is diffrentiable function of t and \[\frac{ du }{ dt } = \frac{ du }{ dt }\frac{ dx }{ dx } = \frac{ du }{ dx }\frac{ dx }{ dt }\] because \[\frac{ dx }{ dx }=1\]