What is (\partial)/(\partial x)(e^{3x}sin(cy)) ?

The answer to (\partial)/(\partial x)(e^{3x}sin(cy)) is sin(cy)e^{3x}*3

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(\partial)/(\partial x)(e^{3x}sin(cy))

\frac{\partial}{\partial x} (e^{3 x} sin (cy))

sin (cy) e^{3 x} \cdot 3

Solution steps

\frac{\partial}{\partial x} (e^{3 x} sin (cy))

Treat

c, y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (3 x) = 3

= sin (cy) e^{3 x} \cdot 3

n = 0 \sum \infty \frac{3 ^{n}}{2 ^{n}}

f (x) = \frac{1}{2 - 3 x}

\frac{d}{d x} (ln (\frac{1 + x}{x ^{4}}))

n = 6 \sum \infty \frac{3 ^{n}}{1 2 ^{n}}

\int_{0}^{15} t + 1 d t

What is (\partial)/(\partial x)(e^{3x}sin(cy)) ?
The answer to (\partial)/(\partial x)(e^{3x}sin(cy)) is sin(cy)e^{3x}*3