If f:R−{−1}→Randf is differentiable function satisfies:
f((x)+f(y)+xf(y))=y+f(x)+yf(x)∀x,
y∈R−{_1} Find f(x).
The correct Answer is:f(x)=−x1+x
Step by step video, text & image solution for If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y)+xf(y))=y+f(x)+yf(x)AAx, yinR-{_1} Find f(x). by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.
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