What is the derivative of f(2)=4log_{6}(x) ?

The derivative of f(2)=4log_{6}(x) is 4/(ln(6)x)

What is the first derivative of f(2)=4log_{6}(x) ?

The first derivative of f(2)=4log_{6}(x) is 4/(ln(6)x)

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derivative of

f (2) = 4 lo g_{6} (x)

\frac{4}{ln ( 6 ) x}

Solution steps

\frac{d}{d x} (4 lo g_{6} (x))

Take the constant out:

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

= 4 \frac{d}{d x} (lo g_{6} (x))

Apply the derivative log rule:

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

= 4 \cdot \frac{1}{x ln ( 6 )}

Simplify

4 \cdot \frac{1}{x ln ( 6 )} : \frac{4}{ln ( 6 ) x}

= \frac{4}{ln ( 6 ) x}

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

x y^{^{'}} + y (1 + ln (x y)) = 0

\int 8 x d x

\frac{d}{d x} (\frac{3 x ^{2} + 4 x - 2}{x})

\frac{5}{x}

What is the derivative of f(2)=4log_{6}(x) ?
The derivative of f(2)=4log_{6}(x) is 4/(ln(6)x)
What is the first derivative of f(2)=4log_{6}(x) ?
The first derivative of f(2)=4log_{6}(x) is 4/(ln(6)x)