How do you implicitly differentiate #11=(x-y)(e^y+e^x)#?
1 Answer
Use the power rule and some algebra to get
Explanation:
Begin by taking the derivative with respect to
The left side is easy - the derivative of a constant is
The right side is a little harder. Because there's multiplication going on there, we'll have to apply the product rule, which says:
In our case,
Applying the power rule:
Doing some algebra to isolate
And there you have it.