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

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

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

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

4 y x^{4 y - 1}

Solution steps

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

Treat

y

as a constant

Apply the Power Rule:

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

= 4 y x^{4 y - 1}

x y^{^{'}} = 2 y + 7 x

\frac{\partial}{\partial x} (x^{3} + 2 y^{2} + 8 x + 5 y + 5 x y)

y^{^{''}} + 9 y^{^{'}} = 40 e^{1 t}

\int 5 e^{t} d t

x \to 0 lim (co tan (x))

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