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

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

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

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

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derivative of

f (x) = 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}

\int \frac{8}{2 + 8 x} d x

y^{^{''}} - y = - sin (x)

10 6 x^{9} + 9 x^{6}

x \to 2 - lim (\frac{x ^{2}}{x ^{2} - 4})

\frac{\partial}{\partial y} (x e^{y} - y e^{x})

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