How do you implicitly differentiate -y=xy+2e^ysqrt(x-y) ?
2 Answers
Explanation:
start by differentiating both sides w.r.t x
lets look at this term by term,
RHS,
the derivative of xy with respect to x using the product rule comes as
we need to use the chain rule and the product rule for
differentiating
=
the derivative of
and the derivative of
therefore the derivative of the second term is
=
therefore, the entire equation becomes
multiply both the sides by -1 to make the left hand side positive,
Now shift all the dy/dx terms to the left side and factorise
therefore,
The answer is
Explanation:
Let,
And
Therefore,