x^-1 + y^-1 = e^y
My textbook has a pretty rubbish explanation of how to differentiate y, from what i gather its like x but you stick a dy/dx after it and use the product rule for xy terms, can anyone do the above question with a slightly better explanation than ive given?!
i forgot to mention,
you can differentiate y with respect to y,
we can differentiate x with respect to x.
when we have
and we don't have y expressed in terms of x,
we've got a dx where we'd prefer to have a dy
We can multiply any value by 1 without changing it,
and there are an infinite number of ways to write 1.
We get dy where we want it by multiplying by
and swopping denominators.