What is (\partial)/(\partial x)(e^xcos(y)) ?

The answer to (\partial)/(\partial x)(e^xcos(y)) is cos(y)e^x

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(\partial)/(\partial x)(e^xcos(y))

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

cos (y) e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= cos (y) e^{x}

y^{^{'}} - \frac{2}{x ^{2}} y = 0

f (x) = 2 x^{2} ln (2 x)

(\frac{1 - x}{y}) d x = - x^{2} cos (y) d y

\frac{\partial}{\partial x} (4 - x^{2} - y)

\frac{2}{4 x - 17}

What is (\partial)/(\partial x)(e^xcos(y)) ?
The answer to (\partial)/(\partial x)(e^xcos(y)) is cos(y)e^x