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in this video were going to talk about how to find a Taylor series and the McLaurin series for different functions so lets start with this example lets find the Taylor series given a function f of x is equal to Ln X centered at c equal one so what we need to do is basically write out the first four derivatives so F Prime of x the derivative of Ln X thats one over X now to find a second derivative we need to rewrite it and then use the power rule so the second derivative is negative one divided by x squared and then to find the third derivative lets use the power rule again so for the third derivative its going to be 2 divided by X cubed and then to find the fourth derivative is going to be negative 1 times negative two thats positive 2. and then we need to take the derivative of x to the negative third power so thats negative 3 x to the negative 4. so the fourth derivative is negative six divided by x to the fourth power now the next thing that we need to do is evaluate the fu
