How do you use implicit differentiation to find dy/dx given #y^4=x^2-6x+2#?
The answer is
So, the main thing to remember is that with implicit differentiation, when you take a derivative of something that's not an
- Take the derivative as normal.
- Tag on a
Then, to solve the problem, you'd just have to solve for the
The only place this is really applicable in this particular example is with the
We can find the derivatives for the other terms using simple power rule. This leaves us with:
Now, we just divide both sides by
Hope that helps :)