What is (\partial)/(\partial y)(e^{x-2y}) ?

The answer to (\partial)/(\partial y)(e^{x-2y}) is -2e^{x-2y}

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(\partial)/(\partial y)(e^{x-2y})

\frac{\partial}{\partial y} (e^{x - 2 y})

- 2 e^{x - 2 y}

Solution steps

\frac{\partial}{\partial y} (e^{x - 2 y})

Treat

x

as a constant

Apply the chain rule:

e^{x - 2 y} \frac{\partial}{\partial y} (x - 2 y)

= e^{x - 2 y} \frac{\partial}{\partial y} (x - 2 y)

\frac{\partial}{\partial y} (x - 2 y) = - 2

= e^{x - 2 y} (- 2)

Simplify

= - 2 e^{x - 2 y}

\int_{0}^{1} x y d x

\frac{d}{d x} ((2 x^{2} + 5) (4 x - 1))

y^{^{''}} - (\frac{3}{x}) y^{^{'}} - (\frac{6}{x ^{2}}) y = 0

ln (5 + e^{x y}) = y

\frac{\partial}{\partial x} (ln (2 x + 2 c t))

What is (\partial)/(\partial y)(e^{x-2y}) ?
The answer to (\partial)/(\partial y)(e^{x-2y}) is -2e^{x-2y}