Statement:[/B] Let y = u(x)v(x).
a) Find y' , y'', and y'''
b) The general formula for yn, the n-th derivative, is called Leibniz’ formula: it uses the same coefficients as the binomial theorem , and looks like https://i.gyazo.com/53728964c6b3ef142fd70f600c29e037.png
Use this to check your answers in part (a), and use it to calculate y(p+q) , if y = xp(1 + x)q
Supposedly, only the Leibniz formula https://i.gyazo.com/53728964c6b3ef142fd70f600c29e037.png
The Attempt at a Solution
I have done a) correctly and I believe the fist part of the b) statement aswell, but I can't figure out how to calculate the new y.
I'm not even in college yet, this is the first time I ever see this 'Leibniz formula', so, the only thing I have done, is naming
u=xp and v=(1+x)q, because I feel that I can do something with y=uv. But so far I can't come up with any ideas.