What is the d/(d{x)}({x}^2e^{{y}{z}}) ?

The d/(d{x)}({x}^2e^{{y}{z}}) is 2e^{{y}{z}}{x}

What is the first d/(d{x)}({x}^2e^{{y}{z}}) ?

The first d/(d{x)}({x}^2e^{{y}{z}}) is 2e^{{y}{z}}{x}

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\frac{d}{d x} (x^{2} e^{y z})

2 e^{y z} x

Solution steps

\frac{d}{d x} (x^{2} e^{y z})

Take the constant out:

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

= e^{y z} \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= e^{y z} \cdot 2 x^{2 - 1}

Simplify

= 2 e^{y z} x

What is the d/(d{x)}({x}^2e^{{y}{z}}) ?
The d/(d{x)}({x}^2e^{{y}{z}}) is 2e^{{y}{z}}{x}
What is the first d/(d{x)}({x}^2e^{{y}{z}}) ?
The first d/(d{x)}({x}^2e^{{y}{z}}) is 2e^{{y}{z}}{x}