What is the derivative of f(x)=(32)/x ?

The derivative of f(x)=(32)/x is -(32)/(x^2)

What is the first derivative of f(x)=(32)/x ?

The first derivative of f(x)=(32)/x is -(32)/(x^2)

derivative of

f (x) = \frac{32}{x}

- \frac{32}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{32}{x})

Take the constant out:

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

= 32 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 32 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 32 (- 1 \cdot x^{- 1 - 1})

Simplify

32 (- 1 \cdot x^{- 1 - 1}) : - \frac{32}{x ^{2}}

= - \frac{32}{x ^{2}}

\frac{\partial}{\partial x} (4 π^{2} \frac{x}{y ^{2}})

\int \frac{1}{1 - 25 x ^{2}} d x

\frac{d}{d x} (\frac{- 5}{4 x ^{3}})

in v erse l a pl a ce \frac{5 s + 5}{s ( s ^{2} + 6 s + 10 )}

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

What is the derivative of f(x)=(32)/x ?
The derivative of f(x)=(32)/x is -(32)/(x^2)
What is the first derivative of f(x)=(32)/x ?
The first derivative of f(x)=(32)/x is -(32)/(x^2)