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

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

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

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

35 y x^{7 y - 1}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 35 y x^{7 y - 1}

\int 56 x e^{7 x^{2}} d x

y^{^{'}} + 2 y^{2} cos (x + 1) = 0

\frac{d}{d x} (f (x) \cdot f (x))

x \to 4 - lim (arcsin (\frac{x}{4}))

x \to 0 lim (\frac{x ^{2} h + 3 x h ^{2} + h ^{3}}{2 x h + 5 h ^{2}})

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