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

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

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

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

e^{y - x}

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= e^{y - x} \cdot 1

Simplify

= e^{y - x}

\frac{d y}{d x} = - e^{x + y}

y = 9 - x^{2}, y = 0

y = (5 - x^{2}) (x^{3} - 3 x + 2)

\int_{1}^{2} 2 x^{2} d x

y = cos (5 x)

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