What is (\partial)/(\partial x)((9y)/(x^4)) ?

The answer to (\partial)/(\partial x)((9y)/(x^4)) is -(36y)/(x^5)

Popular >

(\partial)/(\partial x)((9y)/(x^4))

\frac{\partial}{\partial x} (\frac{9 y}{x ^{4}})

- \frac{36 y}{x ^{5}}

Solution steps

\frac{\partial}{\partial x} (\frac{9 y}{x ^{4}})

Treat

y

as a constant

Take the constant out:

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

= 9 y \frac{\partial}{\partial x} (\frac{1}{x ^{4}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 9 y \frac{\partial}{\partial x} (x^{- 4})

Apply the Power Rule:

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

= 9 y (- 4 x^{- 4 - 1})

Simplify

9 y (- 4 x^{- 4 - 1}) : - \frac{36 y}{x ^{5}}

= - \frac{36 y}{x ^{5}}

x \to 2 lim (- 3)

\int sec^{2} (x) (1 - cot^{2} (x)) d x

x \to 0 lim ((1 + 5 x)^{\frac{1}{x}})

f (x) = \frac{1}{1 - x}

\frac{d}{d x} (300 x - \frac{1}{2} x^{2})

What is (\partial)/(\partial x)((9y)/(x^4)) ?
The answer to (\partial)/(\partial x)((9y)/(x^4)) is -(36y)/(x^5)