posted by Alex on .
Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36)
So far this is what I've gotten:
What do I do now?
You forgot various parts.
If y = uv, y' = u'v + uv'
If y = u^n, y' = nu^(n-1) u'
y' = [1/6 * 6x^5 * lnx] + [1/6 x^6 * 1/x] - 1/36 * 6x^5
or, you can factor stuff out first:
y = 1/6 x^6 (lnx - 1/6)
y' = [1/6 * 6x^5](lnx - 1/6) + 1/6 x^6 * (1/x)
Either way you can massage things till you get