Question

Determine the slope of the graph of x^3 = ln(xy) at the point (1, e).
In all honesty, I think the answer is 2e. Can someone just confirm or deny? Greatly appreciated.

Answer 1

Hmm that's what I'm getting also!
Yay good job \c:/

Answer 2

Implicit Differentiation gives you\[\large\rm 3x^2=\frac{1}{xy}(y+xy')\]And then plugging in the stuff... ya 2e :)

Answer 3

Thank you!