What is (\partial)/(\partial x)(e^{2x}cos(8y)) ?

The answer to (\partial)/(\partial x)(e^{2x}cos(8y)) is cos(8y)e^{2x}*2

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(\partial)/(\partial x)(e^{2x}cos(8y))

\frac{\partial}{\partial x} (e^{2 x} cos (8 y))

cos (8 y) e^{2 x} \cdot 2

Solution steps

\frac{\partial}{\partial x} (e^{2 x} cos (8 y))

Treat

y

as a constant

Take the constant out:

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

= cos (8 y) \frac{\partial}{\partial x} (e^{2 x})

Apply the chain rule:

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

= e^{2 x} \frac{\partial}{\partial x} (2 x)

\frac{\partial}{\partial x} (2 x) = 2

= cos (8 y) e^{2 x} \cdot 2

(\frac{1}{x ( ln ( x ) ) ^{2}})^{^{'}}

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

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

\int_{0}^{1} \frac{61}{x ^{5}} d x

\int_{- 1}^{1} (3 x^{2} + 1)^{2} d x

What is (\partial)/(\partial x)(e^{2x}cos(8y)) ?
The answer to (\partial)/(\partial x)(e^{2x}cos(8y)) is cos(8y)e^{2x}*2