What is the derivative derivative of c/x ?

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

What is the first derivative derivative of c/x ?

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

derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{d}{d t} (e^{t})

\int \frac{1}{( y ^{2} )} d y

\frac{d}{d x} (\frac{( e ^{x} )}{x})

x \to \infty lim (\frac{x , x , ( x + x ^{2} )}{( 2 x - x ^{2} )})

\frac{d}{d x} y = \frac{7}{x}

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