Question

The curve y=xeˣ has minimum value equal to

• A. \(-\dfrac{1}{e}\)
• B. \(-\dfrac{1}{e^2}\)
• C. \(-e\)
• D. e

Hint:

For extrema, always compute function value at critical points.

Answer 1

The Correct Option is A

y=xeˣ, y' = eˣ(x+1) Setting y'=0⟹ x=-1. ymin = (-1)e⁻1 = -(1)/(e)