What is the implicit derivative of #3=e^y-e^(2y) #?
1 Answer
Hey there!
To compute any implicit derivative, you always want to differentiate like you normally would with respect to x, but when taking the derivative of something with a "y" in it, you must multiply by y' or dy/dx. After that, isolate for dy/dx, then you're done! If you want to take the derivative with respect to it's the same idea!
Explanation:
In your example you have
First, take the derivative of everything with respect to x, but remember, when taking the derivative of a term with "y" in it, you must multiply by dy/dx:
Factor out dy/dx:
Divide by
That's the derivative (with respect to x)! Hopefully that helps! All in all, that's the process you should follow do calculate implicit derivatives!
