What is (\partial)/(\partial x)(5x^{9y}) ?

The answer to (\partial)/(\partial x)(5x^{9y}) is 45yx^{9y-1}

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(\partial)/(\partial x)(5x^{9y})

\frac{\partial}{\partial x} (5 x^{9 y})

45 y x^{9 y - 1}

Solution steps

\frac{\partial}{\partial x} (5 x^{9 y})

Treat

y

as a constant

Take the constant out:

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

= 5 \frac{\partial}{\partial x} (x^{9 y})

Apply the Power Rule:

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

= 5 \cdot 9 y x^{9 y - 1}

Simplify

= 45 y x^{9 y - 1}

\int - \frac{4}{s + 1} d s

\int (2 x^{2} - x - 7) d x

\frac{\partial}{\partial x} (ln (3 x + 6 y + 9 z))

\frac{d y}{d x} = x e^{x + y}

\frac{7 x ^{2} + 1}{x ^{2} + 5}

What is (\partial)/(\partial x)(5x^{9y}) ?
The answer to (\partial)/(\partial x)(5x^{9y}) is 45yx^{9y-1}