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

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

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

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

e^{x - y}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x - y) = 1

= e^{x - y} \cdot 1

Simplify

= e^{x - y}

\frac{x - 4}{x}

f (x) = x^{3} + x - 3

y = 2 sin (3 x)

x \to 0 lim (x cos (\frac{6}{x}))

x \to - 3 + lim (\frac{- 7 x}{x + 3})

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