What is the derivative of log_{10}(1/x) ?

The derivative of log_{10}(1/x) is -1/(xln(10))

What is the first derivative of log_{10}(1/x) ?

The first derivative of log_{10}(1/x) is -1/(xln(10))

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\frac{d}{d x} (lo g_{10} (\frac{1}{x}))

- \frac{1}{x ln ( 10 )}

Solution steps

\frac{d}{d x} (lo g_{10} (\frac{1}{x}))

Simplify

lo g_{10} (\frac{1}{x}) : - lo g_{10} (x)

= \frac{d}{d x} (- lo g_{10} (x))

Take the constant out:

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

= - \frac{d}{d x} (lo g_{10} (x))

Apply the derivative log rule:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

= - \frac{1}{x ln ( 10 )}

\int \frac{1}{y ( y ^{3} - 1 )} d y

y^{^{''}} - 6 y^{^{'}} = 4 x

\int \frac{24}{( 399 x - 1 ) ( 399 + 1 )} d x

arcsin (u)

\frac{d}{d x} (3 x^{2} + 2 x y - y^{2})

What is the derivative of log_{10}(1/x) ?
The derivative of log_{10}(1/x) is -1/(xln(10))
What is the first derivative of log_{10}(1/x) ?
The first derivative of log_{10}(1/x) is -1/(xln(10))