What is (\partial)/(\partial x)(6e^{x-y}) ?

The answer to (\partial)/(\partial x)(6e^{x-y}) is 6e^{x-y}

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(\partial)/(\partial x)(6e^{x-y})

\frac{\partial}{\partial x} (6 e^{x - y})

6 e^{x - y}

Solution steps

\frac{\partial}{\partial x} (6 e^{x - y})

Treat

y

as a constant

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (e^{x - y})

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

= 6 e^{x - y} \cdot 1

Simplify

= 6 e^{x - y}

\frac{d}{d x} (\frac{1}{3} x)

\int x 1 + 4 x^{2} d x

x y^{^{'}} - 2 y = 2

\int_{4}^{\infty} e^{- x} d x

f (x) = 2 x e^{x} csc (x)

What is (\partial)/(\partial x)(6e^{x-y}) ?
The answer to (\partial)/(\partial x)(6e^{x-y}) is 6e^{x-y}