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

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

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(\partial)/(\partial y)(e^y*cos(x))

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

cos (x) e^{y}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= cos (x) e^{y}

\frac{( s + 3 )}{s ^{2} + 2 s + 1}

4 y^{^{''}} - 16 y^{^{'}} + 18 y = 0

\frac{d}{d x} (\frac{25 x ^{2} - 1}{x + 3})

\int_{0}^{1} (e^{- 0.1 x}) d x

\frac{d}{d x} ((x + 2)^{3})

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