Derivative of the Logarithmic Function
Let f(x) = log e x (x > 0). Then ..
Let f(x) = log e x (x > 0). Then ..Logarithms
If a > 0 such that a y = x then y is called the logarithm of x with respect to the = base ‘a’ and written as log a x = ..
Logarithmic Differentiation
Logarithmic Differentiation - When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. ..
Logarithmic Differentiation - When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. ..Logarithmic Differentiation
When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differentiating with r..
When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differentiating with r..Logarithmic Series
If x is a real number such that |x|<1, then the series is called the logarithmic series. It can be proved mathematically that this logarithmic series has the sum equal to log(1 + x). If x is a real number such that |xh..
If x is a real number such that |x|<1, then the series is called the logarithmic series. It can be proved mathematically that this logarithmic series has the sum equal to log(1 + x). If x is a real number such that |xh..Logarithmic Series
If x is a real number such that |x|<1, then the series is called the logarithmic series. It can be proved mathematically that this logarithmic series has the sum equal to log(1 + x..
If x is a real number such that |x|<1, then the series is called the logarithmic series. It can be proved mathematically that this logarithmic series has the sum equal to log(1 + x..Working Rules to find derivatives
Logarithmic Differentiation is obtained by taking log on both sides and then differentiating both sides. Differentiation of functions expressed in parametric f..
Graph of Logarithmic Series
We see that as x increases from 0 to , the value of log x also increases indefinitely. The function log x is one-on..
We see that as x increases from 0 to , the value of log x also increases indefinitely. The function log x is one-on..Graph of Logarithmic Function
For x (0, ), the value of log x is uniquely defined.For x (0, ), the value of log x is uniquely defined. \ x g log x is a well-defined function from (0, ) to (- , ). The value of e to one place of decimal i..
For x (0, ), the value of log x is uniquely defined.For x (0, ), the value of log x is uniquely defined. \ x g log x is a well-defined function from (0, ) to (- , ). The value of e to one place of decimal i..Particular Logarithmic Series
For any number x such that |x|<1. i) For number x:|x|<1, we have |-x|=|x|<1. iii) It can be proved mathematically that the logarithmic series (1) is true even when x=1..
For any number x such that |x|<1. i) For number x:|x|<1, we have |-x|=|x|<1. iii) It can be proved mathematically that the logarithmic series (1) is true even when x=1.. Result
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