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

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

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(\partial)/(\partial x)(xe^{6y})

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

e^{6 y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{6 y} \cdot 1

Simplify

= e^{6 y}

\frac{\partial}{\partial x} (\frac{x ^{\frac{3}{2}}}{3})

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

\int_{0}^{8} x^{3} x^{2} + 64 d x

\frac{\partial}{\partial x} (e^{- 20})

\frac{d}{d x} (2 x^{6} - 9 x^{5} + 15 x^{4} - 10 x^{3} + 3 x - 1)

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