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

The answer to (\partial)/(\partial x)(x^{y^z}) is y^zx^{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}

f (x) = 7 x + 1, at x = 5

2 sin (2 x - π), 5 sin (2 x - 3 π)

\int \frac{1}{( 5 + x ) ^{2}} d x

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

\int x^{2} + 6 e^{x} + C d x

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