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Let \(\mathrm{f}(\mathrm{x})=\left(2 \mathrm{x}^2-9 \mathrm{x}+11\right) \cdot \mathrm{e}^{\mathrm{x}},-\infty<\mathr…

Q1

Let \(\mathrm{f}(\mathrm{x})=\left(2 \mathrm{x}^2-9 \mathrm{x}+11\right) \cdot \mathrm{e}^{\mathrm{x}},-\infty<\mathrm{x}<\infty\). Then \(f\) has :

a

neither a local maximum nor a local minimum at \(x=\frac{1}{2}\)

b

neither a local maximum nor a local minimum at \(x=2\)

c

a local minimum at \(x=\frac{1}{2}\) and a local maximum at \(x=2\)

d

a local maximum at \(x=\frac{1}{2}\) and a local minimum at \(x=2\)

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