Question 15: Find of function. xy = e^(x – y)
Class 12 - Math - Continuity and Differentiability
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xy = e^(x-y)
differentiating w.r.t x
y + xdydx = e^(x-y) {1-dy/dx}
=> y +xdy/dx = xy-xydy/dx
=> y+(x+xy)dy/dx = xy
=> dy/dx = y(x-1)/x(1+y)
differentiating w.r.t x
y + xdydx = e^(x-y) {1-dy/dx}
=> y +xdy/dx = xy-xydy/dx
=> y+(x+xy)dy/dx = xy
=> dy/dx = y(x-1)/x(1+y)
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