Derivative of log

Updated: 12/23/2022
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The derivative of a log is as follows:

1 divided by xlnb

Where x is the number beside the log

Where b is the base of the log

and ln is just the natural log.

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13y ago
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Q: Derivative of log
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Derivative of natural log?

Derivative of natural log x = 1/x

What is the derivative of natural log?

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What is the derivative of log x-2?

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The derivative of the natural log is 1/x, therefore the derivative is 1/cos(x). However, since the value of cos(x) is submitted within the natural log we must use the chain rule. Then, we multiply 1/cos(x) by the derivative of cos(x). We get the answer: -sin(x)/cos(x) which can be simplified into -tan(x).

Differentiate log x?

The derivative of ln x, the natural logarithm, is 1/x.Otherwise, given the identity logbx = log(x)/log(b), we know that the derivative of logbx = 1/(x*log b).ProofThe derivative of ln x follows quickly once we know that the derivative of ex is itself. Let y = ln x (we're interested in knowing dy/dx)Then ey = xDifferentiate both sides to get ey dy/dx = 1Substitute ey = x to get x dy/dx = 1, or dy/dx = 1/x.Differentiation of log (base 10) xlog (base 10) x= log (base e) x * log (base 10) ed/dx [ log (base 10) x ]= d/dx [ log (base e) x * log (base 10) e ]= [log(base 10) e] / x= 1 / x ln(10)

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What is the first derivative of log 2x?

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What is the anti-derivative of co secant x?

According to Wolfram Alpha, input:integral csc x it is -log[cot(x) + csc(x)] + constant You can verify this by taking the derivative of the purported integral.

What is the derivative of 2log 1 plus x?

d/dx (2 log(1) + x) = 1

What is The Derivative Of Log Base of 10 ex?

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