🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning Oh no! Our educators are currently working hard solving this question. In the meantime, our AI Tutor recommends this similar expert step-by-step video covering the same topics. Numerade Educator ### Problem 7 Easy Difficulty # Determine the equation of the tangent to the curve defined by$y=x e^{-x}$at the point$A\left(1, e^{-1}\right)$. ### Answer ##$y=\frac{1}{e}\$

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{'transcript': "he It's clear. So when you right here. So our first gonna differentiate using the quotient role. So we have tea. Why? Over t x is equal to one plus each The x the derivative of one plus X minus one plus eat x The derivative times one plus x This is all over one plus Eat the X square. This is equal to one plus eat the X times one minus Eat the x one plus X All over one plus Eat the X square. This becomes equal to one minus x Eat the X over one plus each the X square and to find the slope of the 10 gents, we're gonna plug in zero when we get 1/4 and the equation becomes why minus one have equals 1/4 times X minus zero and this becomes equal to x over four plus 1/2"}

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