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

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

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

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

e^{2 x - 3 y} \cdot 2

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

\frac{d}{d x} ((\frac{x ^{2} + 3}{x ^{2} - 3})^{4})

\frac{\partial}{\partial x} (\frac{x}{A})

\frac{d}{d x} (a cos^{3} (t))

n \to \infty lim (n - \frac{1}{n})

\int \frac{x}{x + 9} d x

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