What is the derivative of y= 5/x ?

The derivative of y= 5/x is -5/(x^2)

What is the first derivative of y= 5/x ?

The first derivative of y= 5/x is -5/(x^2)

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derivative of

y = \frac{5}{x}

- \frac{5}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{5}{x})

Take the constant out:

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

= 5 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 5 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 5 (- 1 \cdot x^{- 1 - 1})

Simplify

5 (- 1 \cdot x^{- 1 - 1}) : - \frac{5}{x ^{2}}

= - \frac{5}{x ^{2}}

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

f (x) = ln (x + x^{2} + 1)

\int 49 - t^{2} d t

\frac{\partial}{\partial x} (e^{- 4 x} cos (5 x))

What is the derivative of y= 5/x ?
The derivative of y= 5/x is -5/(x^2)
What is the first derivative of y= 5/x ?
The first derivative of y= 5/x is -5/(x^2)