Question:

The curve y=xeˣ has minimum value equal to

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Always substitute critical point back into the function.
Updated On: Mar 20, 2026
  • \(-\dfrac{1}{e}\)
  • \(\dfrac{1}{e}\)
  • \(-e\)
  • e
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The Correct Option is A

Solution and Explanation


Step 1:
Differentiate: (dy)/(dx)=eˣ(x+1)
Step 2:
Setting derivative to zero gives x=-1.
Step 3:
y(-1)=-(1)/(e)
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