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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1
If f(x)f(x) is a function whose derivative is
e−(x2+1)2(2x)−e−x4(2x)e^{-\left(x^2+1\right)^2}(2 x)-e^{-x^4}(2 x)

then f(x)f(x) increases in
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Correct option: D
(−∞,0)(-\infty, 0)
Option D is correct because the derivative is positive for x < 0, indicating that the function is increasing in the interval (-∞, 0).

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