What is (\partial)/(\partial x)(3e^xcos(y)) ?

The answer to (\partial)/(\partial x)(3e^xcos(y)) is 3cos(y)e^x

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(\partial)/(\partial x)(3e^xcos(y))

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

3 cos (y) e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 3 cos (y) e^{x}

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

\frac{\partial}{\partial x} (- \frac{9 x ^{2}}{x ^{2} + y ^{2}})

\int_{4}^{4} e^{- x^{2}} d x

\frac{d}{d y} (3 x + 4 y)

\frac{- ( 16 )}{( 5 ( x ^{2} + 8 x + 25 ) )}

What is (\partial)/(\partial x)(3e^xcos(y)) ?
The answer to (\partial)/(\partial x)(3e^xcos(y)) is 3cos(y)e^x