What is (\partial)/(\partial x)(x^{y+z}) ?

The answer to (\partial)/(\partial x)(x^{y+z}) is (y+z)x^{y+z-1}

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(\partial)/(\partial x)(x^{y+z})

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

(y + z) x^{y + z - 1}

Solution steps

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

Treat

y, z

as constants

Apply the Power Rule:

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

= (y + z) x^{y + z - 1}

What is (\partial)/(\partial x)(x^{y+z}) ?
The answer to (\partial)/(\partial x)(x^{y+z}) is (y+z)x^{y+z-1}