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Popular >

derivative of (log_{10}(n))^2

Solution

derivative of

(lo g_{10} (n))^{2}

Solution

\frac{2 lo g _{10} ( n )}{ln ( 10 ) n}

Solution steps

\frac{d}{d n} ((lo g_{10} (n))^{2})

Apply the chain rule:

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

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

\frac{d}{d n} (lo g_{10} (n)) = \frac{1}{n ln ( 10 )}

= 2 lo g_{10} (n) \frac{1}{n ln ( 10 )}

Simplify

2 lo g_{10} (n) \frac{1}{n ln ( 10 )} : \frac{2 lo g _{10} ( n )}{ln ( 10 ) n}

= \frac{2 lo g _{10} ( n )}{ln ( 10 ) n}

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Frequently Asked Questions (FAQ)

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