What is the d/(d{y)}(e^{{y}{z}}) ?

The d/(d{y)}(e^{{y}{z}}) is e^{{y}{z}}{z}

What is the first d/(d{y)}(e^{{y}{z}}) ?

The first d/(d{y)}(e^{{y}{z}}) is e^{{y}{z}}{z}

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\frac{d}{d y} (e^{y z})

e^{y z} z

Solution steps

\frac{d}{d y} (e^{y z})

Apply the chain rule:

e^{y z} \frac{d}{d y} (y z)

= e^{y z} \frac{d}{d y} (y z)

\frac{d}{d y} (y z) = z

= e^{y z} z

What is the d/(d{y)}(e^{{y}{z}}) ?
The d/(d{y)}(e^{{y}{z}}) is e^{{y}{z}}{z}
What is the first d/(d{y)}(e^{{y}{z}}) ?
The first d/(d{y)}(e^{{y}{z}}) is e^{{y}{z}}{z}