Thread: Differentiating over and over again.

y = (3x^2 + 5x + 1)^3 Determine each following derivative for the given function.

y'

y''

y'''

y^(4)

y^(5)

y^(6)

y^(7)

I can do the first one but it becomes such a jumbled mass of numbers I have no idea where to go from there. I know this is a lot of random work but can someone point me in the right direction or help me check my work?

If it were me, I'd multiply it out FIRST. It's only a 6th degree polynomial. It will be a good algebra exercise.

Nah, chain rule here will keep your stress levels down.