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

The answer to (\partial)/(\partial x)(x^{ey}) is eyx^{ey-1}

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(\partial)/(\partial x)(x^{ey})

\frac{\partial}{\partial x} (x^{ey})

ey x^{ey - 1}

Solution steps

\frac{\partial}{\partial x} (x^{ey})

Treat

y

as a constant

Apply the Power Rule:

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

= ey x^{ey - 1}

\int \frac{1}{x ^{2} + 3 x + 4} d x

\int \frac{1}{81 e ^{- 7 x} + e ^{7 x}} d x

\int \frac{( x ^{2} - 4 )}{x ( x ^{2} + 4 )} d x

\frac{\partial}{\partial x} (y^{2} z)

\int_{0.6}^{1.5} \frac{48 + 8 y}{81} d y

What is (\partial)/(\partial x)(x^{ey}) ?
The answer to (\partial)/(\partial x)(x^{ey}) is eyx^{ey-1}