What is the derivative of (80/x) ?

The derivative of (80/x) is -(80)/(x^2)

What is the first derivative of (80/x) ?

The first derivative of (80/x) is -(80)/(x^2)

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\frac{d}{d x} (\frac{80}{x})

- \frac{80}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{80}{x})

Take the constant out:

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

= 80 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 80 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 80 (- 1 \cdot x^{- 1 - 1})

Simplify

80 (- 1 \cdot x^{- 1 - 1}) : - \frac{80}{x ^{2}}

= - \frac{80}{x ^{2}}

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 e^{x} (1 - x)

5 x e^{x}

x \to 0 lim (\frac{3 - 2 x}{x ^{4}})

\int \frac{3 x ^{2} - 5 x - 17}{( x + 3 ) ( x - 2 ) ^{2}} d x

\frac{\partial}{\partial x} (2 x^{3} y - 1)

What is the derivative of (80/x) ?
The derivative of (80/x) is -(80)/(x^2)
What is the first derivative of (80/x) ?
The first derivative of (80/x) is -(80)/(x^2)