What is the derivative of nln(1/x) ?

The derivative of nln(1/x) is -n/x

What is the first derivative of nln(1/x) ?

The first derivative of nln(1/x) is -n/x

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\frac{d}{d x} (n ln (\frac{1}{x}))

- \frac{n}{x}

Solution steps

\frac{d}{d x} (n ln (\frac{1}{x}))

Simplify

n ln (\frac{1}{x}) : - n ln (x)

= \frac{d}{d x} (- n ln (x))

Take the constant out:

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

= - n \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= - n \frac{1}{x}

Simplify

- n \frac{1}{x} : - \frac{n}{x}

= - \frac{n}{x}

\frac{\partial}{\partial x} (\frac{47 x ^{2}}{( x - y ) ^{2}})

\int \frac{x}{x ^{2} + y ^{2}} d x

x \to 0 + lim (0^{x})

y^{^{'}} = y (x y^{5} + 5)

\int sec^{4} (x) tan^{6} (x) d x

What is the derivative of nln(1/x) ?
The derivative of nln(1/x) is -n/x
What is the first derivative of nln(1/x) ?
The first derivative of nln(1/x) is -n/x