What is e^{-2y}y^2(dx)/(dy) ?

The solution to e^{-2y}y^2(dx)/(dy) is (y^2\frac{dx)/(dy)}{e^{2y}}

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simplify e^{-2y}y^2(dx)/(dy)

simplify

e^{- 2 y} y^{2} \frac{d x}{d y}

\frac{y ^{2} \frac{d x}{d y}}{e ^{2 y}}

Solution steps

e^{- 2 y} y^{2} \frac{d x}{d y}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2 y}} y^{2} \frac{d x}{d y}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot y ^{2} \frac{d x}{d y}}{e ^{2 y}}

Multiply:

1 \cdot y^{2} = y^{2}

= \frac{y ^{2} \frac{d x}{d y}}{e ^{2 y}}

28.3 \cdot 1 0^{- 6}

13 0^{\circ} (2 x)^{\circ} x

x^{2} y^{2} (y - 3)

c u a d r a d os (- 4 y^{2} - 16 y)

t^{n} e^{- a t}

What is e^{-2y}y^2(dx)/(dy) ?
The solution to e^{-2y}y^2(dx)/(dy) is (y^2\frac{dx)/(dy)}{e^{2y}}