1.

The equation of the tangent to the curve `y=4xe^(x)` at `(-1,(-4)/e)` isA. y=-1B. `y=-(4)/(e)`C. `x=-1`D. ` x=(-4)/(e)`

Answer» Correct Answer - B
Given curve is `y=4xe^(x)`
`(dy)/(dx)=4e^(x)+4xe^(x)`
At `(-1,-(4)/(e))((dy)/(dx))_((-1,-4//e))=4e^(-1)+4(-1)e^(-1)=0`
`:.` Equation of tangent is
`(y+(4)/(e))=0(x+1)`
`implies y=-(4)/(e)`


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