What is (\partial)/(\partial x)(6x^{4y}) ?

The answer to (\partial)/(\partial x)(6x^{4y}) is 24yx^{4y-1}

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(\partial)/(\partial x)(6x^{4y})

\frac{\partial}{\partial x} (6 x^{4 y})

24 y x^{4 y - 1}

Solution steps

\frac{\partial}{\partial x} (6 x^{4 y})

Treat

y

as a constant

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (x^{4 y})

Apply the Power Rule:

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

= 6 \cdot 4 y x^{4 y - 1}

Simplify

= 24 y x^{4 y - 1}

\int x^{3} 1 - x d x

\frac{d}{d x} (4 - \frac{25}{6 x ^{\frac{1}{6}}})

\frac{d}{d x} (ln (3 x^{2} + 7))

f (x) = x - \frac{1}{x}, at x = 1

y^{^{''}} + 81 y = 4 tan (9 x)

What is (\partial)/(\partial x)(6x^{4y}) ?
The answer to (\partial)/(\partial x)(6x^{4y}) is 24yx^{4y-1}