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

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

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

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

cos (2 y) e^{3 x} \cdot 3

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= cos (2 y) \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

= cos (2 y) e^{3 x} \cdot 3

\int (x^{2})^{2} d x

\int e^{X} d X

\frac{d y}{d x} y = tan (x^{2} - 4 x)

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

f (x) = x^{2} - 4 x - 9

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