Question

What is the first order derivative `(dy)/(dx)` of `x-y=3x^2`?

Answer 1

`dy/dx = -6x+1`

Explanation:

Solve for `y`, then differentiate.

`x-y=3x^2` is equivalent to

`y = -3x^2+x`

Now apply the power rule to find the derivative of `y` with respect to `x`..

`dy/dx = -6x+1`