What is the derivative of y=(9000)/(x^2) ?

The derivative of y=(9000)/(x^2) is -(18000)/(x^3)

What is the first derivative of y=(9000)/(x^2) ?

The first derivative of y=(9000)/(x^2) is -(18000)/(x^3)

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derivative of

y = \frac{9000}{x ^{2}}

- \frac{18000}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{9000}{x ^{2}})

Take the constant out:

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

= 9000 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= 9000 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 9000 (- 2 x^{- 2 - 1})

Simplify

9000 (- 2 x^{- 2 - 1}) : - \frac{18000}{x ^{3}}

= - \frac{18000}{x ^{3}}

\frac{\partial}{\partial x} (4 x yz + ln (2 x yz))

\frac{2 x ^{4} + 1}{y} y^{^{'}} + \frac{1}{6} y^{3} x^{3} = 0

y^{^{'}} - y^{2} = 36

\int_{0}^{1} \frac{30}{4 y - 1} d y

x \cdot \frac{d y}{d x} = 4 y

What is the derivative of y=(9000)/(x^2) ?
The derivative of y=(9000)/(x^2) is -(18000)/(x^3)
What is the first derivative of y=(9000)/(x^2) ?
The first derivative of y=(9000)/(x^2) is -(18000)/(x^3)