What is the tangent of y=x^4e^{-x},(1, 1/e) ?

The tangent of y=x^4e^{-x},(1, 1/e) is y= 3/e x-2/e

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tangent of y=x^4e^{-x},(1, 1/e)

tangent of

y = x^{4} e^{- x}, (1, \frac{1}{e})

y = \frac{3}{e} x - \frac{2}{e}

Solution steps

Find the slope of

y = x^{4} e^{- x} : \frac{d y}{d x} = 4 e^{- x} x^{3} - e^{- x} x^{4}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = \frac{3}{e}

Find the line with slope m=

\frac{3}{e}

and passing through

(1, \frac{1}{e}) : y = \frac{3}{e} x - \frac{2}{e}

y = \frac{3}{e} x - \frac{2}{e}

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\frac{d}{d x} (\frac{1 + 2 x}{1 - x ^{2}})

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What is the tangent of y=x^4e^{-x},(1, 1/e) ?
The tangent of y=x^4e^{-x},(1, 1/e) is y= 3/e x-2/e