What is the derivative of (42/x) ?

The derivative of (42/x) is -(42)/(x^2)

What is the first derivative of (42/x) ?

The first derivative of (42/x) is -(42)/(x^2)

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\frac{d}{d x} (\frac{42}{x})

- \frac{42}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{42}{x})

Take the constant out:

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

= 42 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 42 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 42 (- 1 \cdot x^{- 1 - 1})

Simplify

42 (- 1 \cdot x^{- 1 - 1}) : - \frac{42}{x ^{2}}

= - \frac{42}{x ^{2}}

\frac{d}{d x} (ln (\frac{( e ^{x} + 1 )}{e ^{x} - 1}))

ln (x^{2} + 2)

y^{^{'}} = 1 + 2 x + y^{2} + 2 x y^{2}

\frac{1}{s - 10}

\frac{\partial}{\partial x} (cos (y) sin (x))

What is the derivative of (42/x) ?
The derivative of (42/x) is -(42)/(x^2)
What is the first derivative of (42/x) ?
The first derivative of (42/x) is -(42)/(x^2)