What is the derivative of (900)/x ?

The derivative of (900)/x is -(900)/(x^2)

What is the first derivative of (900)/x ?

The first derivative of (900)/x is -(900)/(x^2)

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derivative of

\frac{900}{x}

- \frac{900}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{900}{x})

Take the constant out:

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

= 900 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 900 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 900 (- 1 \cdot x^{- 1 - 1})

Simplify

900 (- 1 \cdot x^{- 1 - 1}) : - \frac{900}{x ^{2}}

= - \frac{900}{x ^{2}}

2 x^{- 1}

tan^{4} (3 x^{2} + 4)

\frac{d}{d x} (\frac{( 3 x - y )}{( x + 2 y )})

9 ln (x + 8)

\frac{d}{d q} (\frac{q ^{1} q ^{2}}{r ^{2}})

What is the derivative of (900)/x ?
The derivative of (900)/x is -(900)/(x^2)
What is the first derivative of (900)/x ?
The first derivative of (900)/x is -(900)/(x^2)