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The Interval in Which Y = X2 E–X is Increasing is - CBSE (Commerce) Class 12 - Mathematics

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Question

The interval in which y = x2 e–x is increasing is

(A) (– ∞, ∞)

(B) (– 2, 0)

(C) (2, ∞)

(D) (0, 2)

Solution

We have,

∴ f is strictly increasing on (0, 2).

Hence, f is strictly increasing in interval (0, 2).

The correct answer is D.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 6: Application of Derivatives
Q: 19 | Page no. 206
Solution The Interval in Which Y = X2 E–X is Increasing is Concept: Increasing and Decreasing Functions.
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