What is the derivative of (3000/x) ?

The derivative of (3000/x) is -(3000)/(x^2)

What is the first derivative of (3000/x) ?

The first derivative of (3000/x) is -(3000)/(x^2)

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\frac{d}{d x} (\frac{3000}{x})

- \frac{3000}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{3000}{x})

Take the constant out:

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

= 3000 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 3000 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 3000 (- 1 \cdot x^{- 1 - 1})

Simplify

3000 (- 1 \cdot x^{- 1 - 1}) : - \frac{3000}{x ^{2}}

= - \frac{3000}{x ^{2}}

x \frac{d y}{d x} - 3 y = x^{3}

x \to 3 + lim (\frac{x}{x ^{2} - 4 x + 3})

x \to - 1 lim (3 x^{2} + 3 x^{3} + 10)

\frac{5}{2} sin (\frac{π x}{3}), \frac{5}{3} x, [0, 1.5]

y = 2 x, y = x^{2}

What is the derivative of (3000/x) ?
The derivative of (3000/x) is -(3000)/(x^2)
What is the first derivative of (3000/x) ?
The first derivative of (3000/x) is -(3000)/(x^2)