I am writing to ask how can I get a step-by-step procedure to get a partial derivative of the following binomial function.
I cannot remember exactly but, What I did was,
(Clear[a, p, r, n]
(k[p_] := (ap^r) ((1 - p))^(n - r);
(j[p_] := Log[k[p]];
I want to get a partial derivative by p, that is
I know the answer is (r/p) + (r-n)/(1-p)
However, What I got was something else.
!((-((n - r)/(1 - p))))
That is, - (n-r)/(1-p).
I hope to get a step-by-step procedure to get partial derivative on that function.
Thank you very much for your help.
In addition, I hope I could plot a ''standardized normal distribution'' and get Mean (first moment), variance (second moment), Kurtosis(third moment) and so forth.
I hope I could get the visualization of the process of getting moments out of normal distribution.
Thank you again for your help.