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Question: why differentiate this distribution not result in correct density?

Question:why differentiate this distribution not result in correct density?

ComputerUser 535 Maple
diff
December 29 2012
0

www.stat.rice.edu/~dobelman/textfiles/DistributionsHandbook.pdf

i use the derivation of gamma in above book to derive density again, but fail

GammaDist := int((lambda^k)*(z^(k-1))*(exp(-lambda*z))/(k-1)!, z=0..t);
GammaDensity := diff(GammaDist, t);

GammaDensity := (b^a)*(x^(a-1))*exp(-x*b)/GAMMA(a);
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