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\(\pi\)
e
\(\frac{a}{b}\)
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\(\sqrt{\,}\)
\(a^{b}\)
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\(\div\)
log
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tan⁻¹
Let \(f(x) = xe^{-x}\).
Show that the derivative is \(f'(x) = \dfrac{1-x}{e^x}\).
Find the coordinates of the stationary point on the graph of \(y=f(x)\).
Using the first derivative test, determine the nature of this stationary point.
Find the global maximum and global minimum values of the function on the interval \([-1, 3]\).
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