Engineering Board Exam Reviewer · Derivatives of Exponential and Logarithmic Functions · medium

Find y' if y=xe-x2.

1. ≤ft(1 - 2 x ) e- x2
2. - 2 x e- x2
3. ≤ft(1 - 2 x2 ) e- x2
4. ≤ft(2 x2 + 1 ) e- x2

Answer

C. ≤ft(1 - 2 x2 ) e- x2

Solution

Product and chain rules: y'=e-x2+x·(-2x)e-x2=e-x2≤ft(1-2x2 ).

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