What is (\partial)/(\partial x)(e^{3x}cos(4y)) ?

The answer to (\partial)/(\partial x)(e^{3x}cos(4y)) is cos(4y)e^{3x}*3

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(\partial)/(\partial x)(e^{3x}cos(4y))

\frac{\partial}{\partial x} (e^{3 x} cos (4 y))

cos (4 y) e^{3 x} \cdot 3

Solution steps

\frac{\partial}{\partial x} (e^{3 x} cos (4 y))

Treat

y

as a constant

Take the constant out:

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

= cos (4 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 (4 y) e^{3 x} \cdot 3

\int \frac{1}{csc ( x )} d x

\int_{0}^{2} π (e^{x})^{2} d x

y = x - cos^{2} (x)

y = \frac{15}{x ^{3} + 2 x}, 1, 2

\frac{\partial}{\partial x} (\frac{x}{x + \frac{y}{x}})

What is (\partial)/(\partial x)(e^{3x}cos(4y)) ?
The answer to (\partial)/(\partial x)(e^{3x}cos(4y)) is cos(4y)e^{3x}*3