Question

(xlny+xy) if i differentiate that with respect to y... i think i get 0

Answer 1

When you differentiate with respect to y, all you do is treat the \(x\) variable as a constant. Since \(\ln{y}\) doesn't differentiate to zero, and neither does \(y\), you shouldn't get zero.

Answer 2

ok wat do i get

Answer 3

cn you show me

Answer 4

how to do it den

Answer 5

So the derivative of \(\ln{y}\) is \(\frac{1}{y}\), and the derivative of \(y\) is \(1\). Does that help get you moving?

Answer 6

He didn't say partial derivative

Answer 7

i got the answer x/y+x

Answer 8

This could be implicit differiention

Answer 9

is that rite

Answer 10

Yep, that's right. Unless myininaya is right about it being implicit differentiation. Are you learning about implicit differentiation now, or partial derivatives?

Answer 11

If we aren't doing partial differentiation, the answer is x'lny+x/y+x'y+x

Answer 12

implicit

Answer 13

Since x is a function of y

Answer 14

Have you heard of partial derivatives?