What is the derivative of (25/x) ?

The derivative of (25/x) is -(25)/(x^2)

What is the first derivative of (25/x) ?

The first derivative of (25/x) is -(25)/(x^2)

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\frac{d}{d x} (\frac{25}{x})

- \frac{25}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{25}{x})

Take the constant out:

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

= 25 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 25 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 25 (- 1 \cdot x^{- 1 - 1})

Simplify

25 (- 1 \cdot x^{- 1 - 1}) : - \frac{25}{x ^{2}}

= - \frac{25}{x ^{2}}

\int \frac{x}{x ^{2} + 5} d x

\frac{d y}{d x} = e^{4 x} + 7 y

\int \frac{7 x ^{3} + 3 x}{x - 1} d x

\int 3 e^{- 2 x} d x

\frac{2 x ^{4}}{cos ( x ) e ^{x}}

What is the derivative of (25/x) ?
The derivative of (25/x) is -(25)/(x^2)
What is the first derivative of (25/x) ?
The first derivative of (25/x) is -(25)/(x^2)