What is the derivative of y= C/x ?

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

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

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

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derivative of

y = \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}}

\int (\frac{1}{x} - \frac{2}{x ^{2}} + \frac{5}{x ^{3}}) d x

- y

x \to 0 lim (4 x - ln (4 x + 1))

x \to 0 lim (\frac{12}{x ^{2}})

y^{^{''}} + y^{^{'}} + a^{2} y = 0

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