What is the derivative derivative of 6/x ?

The derivative derivative of 6/x is -6/(x^2)

What is the first derivative derivative of 6/x ?

The first derivative derivative of 6/x is -6/(x^2)

derivative of

\frac{d}{d x} (\frac{6}{x})

- \frac{6}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{6}{x})

Take the constant out:

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

= 6 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 6 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 6 (- 1 \cdot x^{- 1 - 1})

Simplify

6 (- 1 \cdot x^{- 1 - 1}) : - \frac{6}{x ^{2}}

= - \frac{6}{x ^{2}}

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

\frac{d y}{d x} y = \frac{x + 1}{x}

\int (e^{2 x} x^{2}) d x

n = 1 \sum \infty (\frac{- 1}{3})^{n - 1}

x \to 0 lim (\frac{( sin ( cos ( x ) ) )}{( sec ( x ) )})

What is the derivative derivative of 6/x ?
The derivative derivative of 6/x is -6/(x^2)
What is the first derivative derivative of 6/x ?
The first derivative derivative of 6/x is -6/(x^2)