What is (\partial)/(\partial x)(2x^{7y}) ?

The answer to (\partial)/(\partial x)(2x^{7y}) is 14yx^{7y-1}

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(\partial)/(\partial x)(2x^{7y})

\frac{\partial}{\partial x} (2 x^{7 y})

14 y x^{7 y - 1}

Solution steps

\frac{\partial}{\partial x} (2 x^{7 y})

Treat

y

as a constant

Take the constant out:

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

= 2 \frac{\partial}{\partial x} (x^{7 y})

Apply the Power Rule:

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

= 2 \cdot 7 y x^{7 y - 1}

Simplify

= 14 y x^{7 y - 1}

\frac{\partial}{\partial x} (2 y + x + 1)

f (X) = X

\int \frac{x e ^{2 x}}{( 2 x + 1 ) ^{2}} d x

x \frac{d y}{d x} + 2 y = x^{- 4}

f (t) = 2 t + 1

What is (\partial)/(\partial x)(2x^{7y}) ?
The answer to (\partial)/(\partial x)(2x^{7y}) is 14yx^{7y-1}