99 Percentile Qs Bank for JEE MainMathematicsDifferentiation

If y=2 (2 x)+3 (2 x) , then x^2 y^ +x y^ +2 y=

Options

A-2 y
B2 y
C0
D4

Correct answer

A. -2 y

Step-by-step solution

We have, aligned & y=2 (2 x)+3 (2 x) & y^ =-2 (2 x) 2 x +3 (2 x) 2 x & x y^ =2[-2 (2 x)+3 (2 x)] & x y^ +y^ =2 [-2 (2 x) 2 x -3 (2 x) 2 x ] & x^2 y^ +x y^ =-4[2 (2 x)+3 (2 x)] & x^2 y^ +x y^ =-4 y & x^2 y^ +x y^ +2 y=-2 y aligned

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