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

The derivative of (2000/(x^2)) is -(4000)/(x^3)

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

The first derivative of (2000/(x^2)) is -(4000)/(x^3)

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\frac{d}{d x} (\frac{2000}{x ^{2}})

- \frac{4000}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{2000}{x ^{2}})

Take the constant out:

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

= 2000 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= 2000 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 2000 (- 2 x^{- 2 - 1})

Simplify

2000 (- 2 x^{- 2 - 1}) : - \frac{4000}{x ^{3}}

= - \frac{4000}{x ^{3}}

\frac{d x}{d t} = x^{2} t^{2}

\frac{d}{d x} (\frac{x ^{3} + 1}{x})

\int e^{3 c o s (2 x)} sin (2 x) d x

t^{2} sin (3 t)

\frac{d}{d y} (\frac{y}{2})

What is the derivative of (2000/(x^2)) ?
The derivative of (2000/(x^2)) is -(4000)/(x^3)
What is the first derivative of (2000/(x^2)) ?
The first derivative of (2000/(x^2)) is -(4000)/(x^3)