99 Percentile Qs Bank for JEE MainMathematicsDifferentiation

If y=a x+(5+2 x) x , then y^ +y=

Options

A4 x
B-4 x
C4 x
D-4 x

Correct answer

D. -4 x

Step-by-step solution

y=a x+(5+2 x) x Differential w.r.t ' x ' aligned & y^ =a x+(5+2 x)(- x)+(0+2) x & y^ =a x-(5+2 x) x+2 x aligned Again differential w.r.t ' x ' aligned & y^ =-a x-[(5+2 x) x & +(0+2) x]+2(- x) & y^ =-a x-(5+2 x) x-2 x-2 x & y^ =-(a x+(5+2 x) x)-4 x & y^ =-y-4 x & y^ +y=-4 x aligned

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