What is the derivative of 7log_{7}(x) ?

The derivative of 7log_{7}(x) is 7/(ln(7)x)

What is the first derivative of 7log_{7}(x) ?

The first derivative of 7log_{7}(x) is 7/(ln(7)x)

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derivative of

7 lo g_{7} (x)

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

Solution steps

\frac{d}{d x} (7 lo g_{7} (x))

Take the constant out:

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

= 7 \frac{d}{d x} (lo g_{7} (x))

Apply the derivative log rule:

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

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

Simplify

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

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

What is the derivative of 7log_{7}(x) ?
The derivative of 7log_{7}(x) is 7/(ln(7)x)
What is the first derivative of 7log_{7}(x) ?
The first derivative of 7log_{7}(x) is 7/(ln(7)x)