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

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

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

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

6 y x^{6 y - 1}

Solution steps

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

Treat

y

as a constant

Apply the Power Rule:

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

= 6 y x^{6 y - 1}

\frac{d}{d x} (x^{2} 6 x - 1)

\int_{b}^{d} \frac{1}{r} d r

f (x) = 7 x^{3} + 5 x, at x = 7

\frac{d}{d x} (3 e^{x} (5 x^{5} - 2))

y^{'} = sin^{2} (x - y)

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