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Popular Calculus >

derivative of 3log_{10}(x)

Solution

\frac{d}{d x} (3 lo g_{10} (x))

Solution

\frac{3}{ln ( 10 ) x}

Solution steps

\frac{d}{d x} (3 lo g_{10} (x))

Take the constant out:

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

= 3 \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 )}

= 3 \cdot \frac{1}{x ln ( 10 )}

Simplify

3 \cdot \frac{1}{x ln ( 10 )} : \frac{3}{ln ( 10 ) x}

= \frac{3}{ln ( 10 ) x}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 3log_{10}(x) ?
The derivative of 3log_{10}(x) is 3/(ln(10)x)
What is the first derivative of 3log_{10}(x) ?
The first derivative of 3log_{10}(x) is 3/(ln(10)x)