I have also included the furigana to difficult Kanjis to help beginners in reading. That's why I created the PRO version where you can 'sort of' cheat to view the script to the dialogue. Features: -Auto-Play all items -Skip, rewind, fast-forward audio -Very simple, clean design -Dialogue/script for 'Kaiwa' (Please download the PRO version to view the dialogue for 'Mondai' as well) I know a lot of people are having difficulty listening to the exercises. Minna no Nihongo conversation & listening exercises for lesson 1-25. I take a long time to read but I'm curious to know about. Awesome It's like someone is reading out aloud the text book. Listening Minna No Nihongo is full 50 lesson.
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Formula for Derivative of Logarithmic Functions The Derivative of the Natural Logarithmic Function by normal method. d d x l o g x 1 x Derivatives of logarithmic functions are used to find out solutions to differential equations. That's a constant, so that can be pulled out. The derivative of a logarithmic function of the variable with respect to itself is equal to its reciprocal. Let's observe that this division by lna is just a multiplication by 1 over lna. So if I wanted to differentiate the log of some other base a, I would first change it to this form The derivative with respect to x of lnx over lna. Of course you can change to any other base, but I'm going to change natural log, because I have this formula. To get the derivatives of other logarithms, I'm going to use the change of base formula. First of all, recall that the derivative of natural log is 1 over x. We haven't yet talked about derivatives of other logarithms. So we've talked about the derivative of natural log. 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