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Let us consider a curve, \(y=f(x)\) passing through the point \((-2,2)\) and the slope of the tangent to the curve at an…

Q1

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 \(f(x)+x f^{\prime}(x)=x^2\). Then:

a

\(x^3+x f(x)+12=0\)

b

\(x^3-3 x f(x)-4=0\)

c

\(x^2+2 x f(x)+4=0\)

d

\(x^2+2 x f(x)-12=0\)

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