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Let us consider a curve, y=f(x) passing ...

Let us consider a curve, y=f(x) passing through the point (-2,2) and the slope of the tangent to the curve at any point (x,f(x)) is given by `f(x)+xf'(x)=x^(2)`. Then :

A

`x^2+2xf(x)-12=0`

B

`x^3-3xf(x)-4=0`

C

`x^3+xf(x)+12=0`

D

`x^2+2xf(x)+4=0`

Text Solution

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The correct Answer is:
B
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