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)

\frac{d}{d x} (\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}}

x \to + 0 lim (6 sin (x) ln (x))

x \to - 4 lim (- 5 x)

x^{2} y^{^{''}} - 5 x y^{^{'}} + 8 y = 0

t an g e n t f (x) = 2 sin (x) + 1, at x = - \frac{π}{2}

x \to 0 lim (\frac{( x - 2 ) ^{2} - 4}{x})

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)