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Derivative of log

Anonymous

∙ 14y ago

Updated: 12/23/2022

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.

Wiki User

∙ 14y ago

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Related Questions

Derivative of natural log?

y = ln (x) dy/dx = 1/x

What is the derivative of natural log?

d/dx lnx=1/x

What is the derivative of log x-2?

The formula for finding the derivative of a log function of any "a" base is (dy/dx)log base a (x) = 1/((x)ln(a)) If we're talking about base "e" (natural logs) the answer is 1/(x-2) I think you're asking for the derivative of y = logx2. It's (-logx2)/(x(lnx)).

What is Two times the natural logarithm?

2 log(x)derivative form:d/dx(2 log(x)) = 2/x

What is the derivative of ln cos x?

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)

How do you show log x is convex?

Log x is defined only for x > 0. The first derivative of log x is 1/x, which, for x > 0 is also > 0 The second derivative of log x = -1/x2 is always negative over the valid domain for x. Together, these derivatives show that log x is a strictly monotonic increasing function of x and that its rate of increase is always decreasing. Consequently log x is convex.

What is the first derivative of log 2x?

It is 2/{x*ln(10)} = 0.8686/x, approx.

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?

This is how you start by using the derivative of inx formula: (1/e^x*In10)* e^x e^x/e^xIn10 our final answer will be: 1/In10

Find the derivative y equals 10 to the sin3x power?

Y=10^sin(x) The derivative is: (log(5)+log(2))*cos(x)*2^sin(x)*5^sin(x) Use the chain rule, product rule, and power rules combined with sin(x) rule.

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