What is the derivative of 2log_{10}(x) ?

The derivative of 2log_{10}(x) is 2/(ln(10)x)

What is the first derivative of 2log_{10}(x) ?

The first derivative of 2log_{10}(x) is 2/(ln(10)x)

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\frac{d}{d x} (2 lo g_{10} (x))

\frac{2}{ln ( 10 ) x}

Solution steps

\frac{d}{d x} (2 lo g_{10} (x))

Take the constant out:

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

= 2 \frac{d}{d x} (lo g_{10} (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 ( 10 )}

Simplify

2 \cdot \frac{1}{x ln ( 10 )} : \frac{2}{ln ( 10 ) x}

= \frac{2}{ln ( 10 ) x}

\int_{1}^{2} (4 x^{\frac{3}{2}}) d x

\frac{\partial}{\partial y} (sin (2 x + 5 y))

\int_{1}^{4} 2 t ln (t) d t

\frac{\partial}{\partial x} (8 x^{6 y})

What is the derivative of 2log_{10}(x) ?
The derivative of 2log_{10}(x) is 2/(ln(10)x)
What is the first derivative of 2log_{10}(x) ?
The first derivative of 2log_{10}(x) is 2/(ln(10)x)