What is (\partial)/(\partial x)(6x^{9y}) ?

The answer to (\partial)/(\partial x)(6x^{9y}) is 54yx^{9y-1}

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(\partial)/(\partial x)(6x^{9y})

\frac{\partial}{\partial x} (6 x^{9 y})

54 y x^{9 y - 1}

Solution steps

\frac{\partial}{\partial x} (6 x^{9 y})

Treat

y

as a constant

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (x^{9 y})

Apply the Power Rule:

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

= 6 \cdot 9 y x^{9 y - 1}

Simplify

= 54 y x^{9 y - 1}

n = 0 \sum \infty \frac{e}{π}

\int 10 cos (4 x) d x

x \to 1 lim (x^{3} + 2 x^{2} - x - 10)

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

\frac{d}{d x} (\frac{9}{5 x ^{2}})

What is (\partial)/(\partial x)(6x^{9y}) ?
The answer to (\partial)/(\partial x)(6x^{9y}) is 54yx^{9y-1}