What is (\partial)/(\partial x)(2x^{6y}) ?

The answer to (\partial)/(\partial x)(2x^{6y}) is 12yx^{6y-1}

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(\partial)/(\partial x)(2x^{6y})

\frac{\partial}{\partial x} (2 x^{6 y})

12 y x^{6 y - 1}

Solution steps

\frac{\partial}{\partial x} (2 x^{6 y})

Treat

y

as a constant

Take the constant out:

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

= 2 \frac{\partial}{\partial x} (x^{6 y})

Apply the Power Rule:

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

= 2 \cdot 6 y x^{6 y - 1}

Simplify

= 12 y x^{6 y - 1}

\int e x sin (x) d x

s l o p e \frac{x}{2}

\frac{d}{d x} (C e^{2 x})

(4 + t^{2}) (\frac{d y}{d t}) + 2 t y = 4 t

\frac{d}{d x} (- x sin (x y))

What is (\partial)/(\partial x)(2x^{6y}) ?
The answer to (\partial)/(\partial x)(2x^{6y}) is 12yx^{6y-1}