What is the derivative of 2log_{5}(x) ?

The derivative of 2log_{5}(x) is 2/(ln(5)x)

What is the first derivative of 2log_{5}(x) ?

The first derivative of 2log_{5}(x) is 2/(ln(5)x)

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derivative of

2 lo g_{5} (x)

\frac{2}{ln ( 5 ) x}

Solution steps

\frac{d}{d x} (2 lo g_{5} (x))

Take the constant out:

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

= 2 \frac{d}{d x} (lo g_{5} (x))

Apply the derivative log rule:

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

= 2 \cdot \frac{1}{x ln ( 5 )}

Simplify

2 \cdot \frac{1}{x ln ( 5 )} : \frac{2}{ln ( 5 ) x}

= \frac{2}{ln ( 5 ) x}

x \to 6 lim ((10) (- 5))

\int \frac{1}{2} x^{- 2} d x

\frac{d}{d x} (e^{x + 6})

f (x) = ln (x^{2} + 5)

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

What is the derivative of 2log_{5}(x) ?
The derivative of 2log_{5}(x) is 2/(ln(5)x)
What is the first derivative of 2log_{5}(x) ?
The first derivative of 2log_{5}(x) is 2/(ln(5)x)