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Question

Mathematics Question on integral

If, y=9x+x+x+....∞ find dydx at a point where y = 3.

A

(A) 3

B

(B) -3

C

(C) -6

D

(D) -9

Answer

(B) -3

Explanation

Solution

Explanation:
y2=9(x+y)2y(dydx)=9+9(dydx)(dydx)=92y−9Now putting y = 3 we get dydx=−3Hence, the correct option is (B).