What is the derivative of (2000)/x ?

The derivative of (2000)/x is -(2000)/(x^2)

What is the first derivative of (2000)/x ?

The first derivative of (2000)/x is -(2000)/(x^2)

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derivative of

\frac{2000}{x}

- \frac{2000}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{2000}{x})

Take the constant out:

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

= 2000 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 2000 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 2000 (- 1 \cdot x^{- 1 - 1})

Simplify

2000 (- 1 \cdot x^{- 1 - 1}) : - \frac{2000}{x ^{2}}

= - \frac{2000}{x ^{2}}

\frac{( x ^{2} + 2 x )}{( x + 1 )}

(3 x^{- 2} x) (e^{x} - sin (x))

\frac{2 - 2}{3 t}

4 x^{3} - x^{2} + 1^{2}

\frac{t ^{2}}{20} + \frac{t}{5}

What is the derivative of (2000)/x ?
The derivative of (2000)/x is -(2000)/(x^2)
What is the first derivative of (2000)/x ?
The first derivative of (2000)/x is -(2000)/(x^2)