What is the derivative of (32/x) ?

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

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

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

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\frac{d}{d 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}}

- x^{2} + 9, 1.25 x + 3

y^{^{'}} - y = 9 t e^{2 t}, y (0) = 1

x \to 0 - lim (\frac{1}{x \cdot e ^{\frac{1}{x}}})

\frac{4}{s + 4}

x \to 2 lim (3 x^{3} - 12 x - 4)

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