JEE Math Practice Question
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) = x2. Then :
- A.$${x^2} + 2xf(x) - 12 = 0$$
- B.$${x^3} + xf(x) + 12 = 0$$
- C.$${x^3} - 3xf(x) - 4 = 0$$
- D.$${x^2} + 2xf(x) + 4 = 0$$
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