- #1

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## Homework Statement

Statement:[/B] Let y = u(x)v(x).

a) Find y' , y'', and y'''

b) The general formula for y

^{n}, 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 = x

^{p}(1 + x)

^{q}

## Homework Equations

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=x

^{p}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.