What is (\partial)/(\partial y)(e^{2x-3y}) ?

The answer to (\partial)/(\partial y)(e^{2x-3y}) is -3e^{2x-3y}

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(\partial)/(\partial y)(e^{2x-3y})

\frac{\partial}{\partial y} (e^{2 x - 3 y})

- 3 e^{2 x - 3 y}

Solution steps

\frac{\partial}{\partial y} (e^{2 x - 3 y})

Treat

x

as a constant

Apply the chain rule:

e^{2 x - 3 y} \frac{\partial}{\partial y} (2 x - 3 y)

= e^{2 x - 3 y} \frac{\partial}{\partial y} (2 x - 3 y)

\frac{\partial}{\partial y} (2 x - 3 y) = - 3

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

Simplify

= - 3 e^{2 x - 3 y}

\frac{\partial}{\partial x} (y^{2} + x)

\int e^{500 x} d x

\frac{d}{d x} (sin (5))

\frac{\partial}{\partial x} (x^{5 y})

f (x) = \frac{8}{x}

What is (\partial)/(\partial y)(e^{2x-3y}) ?
The answer to (\partial)/(\partial y)(e^{2x-3y}) is -3e^{2x-3y}