How do you implicitly differentiate #11=(x-y)/(e^y-e^x)#?
1 Answer
Multiply both sides of the equation by
Separate terms containing y to the left and x to the right.
Differentiate each term.
Divide both sides by the coefficient of
Explanation:
Multiply both sides by
Add 11e^x + y to both sides:
Differentiate each term with respect to x:
The derivative of y is
The derivative of
The derivative of
The derivative of x is 1:
Factor dy/dx from the left side:
Divide both sides