Question

derivative of 36x^2 + 100y^2 - 108x + 500y + 589

Answer 1

use the power rule

Answer 2

36(2) x + 200y -108 + 500
72x + 200y + 392

Answer 3

got - 72x + 108 / 200y + 500

Answer 4

am i right?

Answer 5

Is your derivative being taken with respect to x or y?

Answer 6

dy/dx

Answer 7

So any time we take the derivative of a non-x term we need to apply the chain rule and multiply by dy/dx.

So we start by applying the power rule to every term, and then the chain rule to all the y terms.\[\Large \frac{d}{dx}(36x^2 + 100y^2 - 108x + 500y + 589 )\]
\[\Large = 36(2x)+100(2y)\frac{dy}{dx}-108(1)+500(1)\frac{dy}{dx}+0\]

Answer 8

dy/dx is - 72x + 108 / 200y + 500?

Answer 9

Yah that looks right, good job! :)

dy/dx = (-72x + 108) / (200y + 500)

Answer 10

thanks thanks