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Q: What is the derivative of ln 1?
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What is the derivative of Ln10?

The derivative of ln(10) is 1/10. This is because the derivative of the natural logarithm function ln(x) is 1/x. Therefore, when differentiating ln(10), the derivative is 1/10.


What is the derivative of lnlnx?

1/xlnx Use the chain rule: ln(ln(x)) The derivative of the outside is1/ln(x) times the derivative of the inside. 1/[x*ln(x)]


What is the Derivative of 500 ln x plus 1?

the derivative of ln x = x'/x; the derivative of 1 is 0 so the answer is 500(1/x)+0 = 500/x


What is the derivative of e the the power ln x?

y = e^ln x using the fact that e to the ln x is just x, and the derivative of x is 1: y = x y' = 1


What is the derivative of 2lnx?

The derivative of ln x is 1/x The derivative of 2ln x is 2(1/x) = 2/x


What is the derivitive of ln10x?

The derivative of ln(x) is 1/x. Therefore, by Chain Rule, we get:[ln(10x)]' = 1/10x * 10 = 1/xUsing this method, you can also infer that the derivative of ln(Ax) where A is any constant equals 1/x.


What is the derivative of ln 1- x?

The derivative of ln x is 1/x. Replacing the expression, that gives you 1 / (1-x). By the chain rule, this must then be multiplied by the derivative of (1-x), which is -1. So, the final result is -1 / (1-x).


What is the derivative of lnln1-x?

-1/ln(1-x) * 1/(1-X) or -1/((1-x)*ln(1-x))


Derivative of logx?

The derivative of logx, assuming base 10, is 1/(xln10).


What is the derivative of ln 1-x?

In this case, you need to apply the chain rule. Note that the derivative of ln N = 1/N. In that case we get: f(x) = ln(1 - x) ∴ f'(x) = 1/(1 - x) × -1 ∴ f'(x) = -1/(1 - x)


What is the derivative of ln 1 plus x?

d/dx of lnx is 1/x Therefore the derivative is 1/(1+x)


What is the third derivative of lnx?

The third derivative of ln(x) is -2/(x^3). To find the third derivative, we first find the first derivative of ln(x), which is 1/x. The second derivative is -1/x^2, and the third derivative is 2/(x^3) after applying the power rule for differentiation.