What is (\partial)/(\partial x)(7x^{5y}) ?

The answer to (\partial)/(\partial x)(7x^{5y}) is 35yx^{5y-1}

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(\partial)/(\partial x)(7x^{5y})

\frac{\partial}{\partial x} (7 x^{5 y})

35 y x^{5 y - 1}

Solution steps

\frac{\partial}{\partial x} (7 x^{5 y})

Treat

y

as a constant

Take the constant out:

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

= 7 \frac{\partial}{\partial x} (x^{5 y})

Apply the Power Rule:

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

= 7 \cdot 5 y x^{5 y - 1}

Simplify

= 35 y x^{5 y - 1}

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\frac{d}{d x} (cos (7 π x))

x \to 0 lim (\frac{x ^{- 2} - 6 ^{- 2}}{x + 6})

What is (\partial)/(\partial x)(7x^{5y}) ?
The answer to (\partial)/(\partial x)(7x^{5y}) is 35yx^{5y-1}