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

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

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

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

2 e^{x - 3 y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x - 3 y) = 1

= 2 e^{x - 3 y} \cdot 1

Simplify

= 2 e^{x - 3 y}

x^{4} + y^{4}

\int \frac{sin ( x )}{4} d x

f (x) = 14 - x, at x = 5

\frac{\partial}{\partial x} (\frac{1}{x} + \frac{1}{y})

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

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