Second derivative of an exponential product
Second derivative of an exponential product
IB Year 6 | Grade 12
4 marks
For \(y=xe^{-x}\), find \(\frac{\mathrm d^2y}{\mathrm dx^2}\). Determine the value of \(x\) for which this second derivative is zero.[4]
Solution:
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Answer:\(\frac{\mathrm d^2y}{\mathrm dx^2}=e^{-x}(x-2);\ x=2\)
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