What is (\partial)/(\partial x)(ye^xcos(yz)) ?

The answer to (\partial)/(\partial x)(ye^xcos(yz)) is ycos(yz)e^x

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(\partial)/(\partial x)(ye^xcos(yz))

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

y cos (yz) e^{x}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= y cos (yz) e^{x}

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

\int \frac{4 x ^{2} - 9 x + 1}{x ^{3} - 2 x ^{2} + x} d x

(x + 2)^{- 1}

x \to - 1 - lim (1)

\frac{5}{t}

What is (\partial)/(\partial x)(ye^xcos(yz)) ?
The answer to (\partial)/(\partial x)(ye^xcos(yz)) is ycos(yz)e^x