What is (\partial)/(\partial y)(ye^{3x}) ?

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

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(\partial)/(\partial y)(ye^{3x})

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

e^{3 x}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{3 x} \cdot 1

Simplify

= e^{3 x}

n = 0 \sum \infty x^{n + 1}

\int \frac{1}{x 2 x + 1} d x

\frac{d}{d x} (\frac{v}{x})

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

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