What is (\partial)/(\partial x)(e^xsin(yz)) ?

The answer to (\partial)/(\partial x)(e^xsin(yz)) is sin(yz)e^x

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(\partial)/(\partial x)(e^xsin(yz))

\frac{\partial}{\partial x} (e^{x} sin (yz))

sin (yz) e^{x}

Solution steps

\frac{\partial}{\partial x} (e^{x} sin (yz))

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= sin (yz) e^{x}

\frac{d}{d x} (e^{- 0.3 x})

\frac{d}{d x} (3^{x} - 4)

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

\frac{d}{d x} (\frac{a x ^{3} + b x + c}{d x ^{3} - e})

\int_{0}^{1} \frac{6 + x}{1 + x ^{2}} d x

What is (\partial)/(\partial x)(e^xsin(yz)) ?
The answer to (\partial)/(\partial x)(e^xsin(yz)) is sin(yz)e^x