What is the derivative of (ln(x)/(ln(7))) ?

The derivative of (ln(x)/(ln(7))) is 1/(ln(7)x)

What is the first derivative of (ln(x)/(ln(7))) ?

The first derivative of (ln(x)/(ln(7))) is 1/(ln(7)x)

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\frac{d}{d x} (\frac{ln ( x )}{ln ( 7 )})

\frac{1}{ln ( 7 ) x}

Solution steps

\frac{d}{d x} (\frac{ln ( x )}{ln ( 7 )})

Take the constant out:

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

= \frac{1}{ln ( 7 )} \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= \frac{1}{ln ( 7 )} \cdot \frac{1}{x}

Simplify

\frac{1}{ln ( 7 )} \cdot \frac{1}{x} : \frac{1}{ln ( 7 ) x}

= \frac{1}{ln ( 7 ) x}

\int \frac{5}{6} x^{\frac{5}{6}} d x

f (x) = (1 - x^{2})^{\frac{1}{2}}

x \to - 1 + lim (\frac{1}{x + 1})

x \to \infty + lim (e^{x} - 2 x)

\int - 4 csc^{2} (x) d x

What is the derivative of (ln(x)/(ln(7))) ?
The derivative of (ln(x)/(ln(7))) is 1/(ln(7)x)
What is the first derivative of (ln(x)/(ln(7))) ?
The first derivative of (ln(x)/(ln(7))) is 1/(ln(7)x)