Maple solution of equations 0.04q1+0.8q2+0.35q3+0.25q4=600000 0.09q1+0.02q2+0.3q3+0.4q4=700000 1928000p1/297+q1=6748000 1200p2+q2=1184000 23100p3/105+q3=441000 28000p4/815+q4=98000 p4/(815-p4)=10/11-2100000/(11q3) p3/(1050-p3)=5/2-175000/q4 Solving unknowns, I am not familiar with Maple software, this is to help my friend ask

Maple solution of equations 0.04q1+0.8q2+0.35q3+0.25q4=600000 0.09q1+0.02q2+0.3q3+0.4q4=700000 1928000p1/297+q1=6748000 1200p2+q2=1184000 23100p3/105+q3=441000 28000p4/815+q4=98000 p4/(815-p4)=10/11-2100000/(11q3) p3/(1050-p3)=5/2-175000/q4 Solving unknowns, I am not familiar with Maple software, this is to help my friend ask

The code is:
solve({p3/(1050-p3) = 5/2-175000/q4,p4/(815-p4) = 10/11-(2100000/11)/q3,(1928000/297)*p1+q1 = 6748000,1200*p2+q2 = 1184000,220*p3+q3 = 441000,(5600/163)*p4+q4 = 98000,0.4e-1*q1+.8*q2+.35*q3+.25*q4 = 600000,0.9e-1*q1+0.2e-1*q2+.3*q3+.4*q4 = 700000},{p1,p2,p3,p4,q1,q2,q3,q4});
The results were as follows
{p1 = -87.18405832,p2 = 701.1682810,p3 = 1681.303042,p4 = 1865.956039,q1 = 7.313962507*10^6,q2 = 3.425980628*10^5,q3 = 71113.33073,q4 = 33893.53484},{p1 = 95.80383240,p2 = 770.8878403,p3 = 378.3123425,p4 = 222.4814606,q1 = 6.126081519*10^6,q2 = 2.589345917*10^5,q3 = 3.577712847*10^5,q4 = 90356.46516}

Seek the master to do a high school calculus problem
Let f (x) = xlnx-x
(1) Find f '(x) and s [above is e, below is 1] (LNX + 1) DX
(2) Set 0

(1) F '(x) = LNX [according to the four operations of derivative], ∫ (1, e) (LNX + 1) DX = xlnx | (1, e) = E [according to Newton Leibniz's Law]
(2) Let g (c) = 2E ^ C - (a + b) C + F (a) + F (b), 0

How can I prove the last equation, which is the one of differential 100 times
I can see it's right, but how to explain it?
Which part of differential is this?
It's a very small picture. It can't be passed on.
The formula is d ^ n (x ^ n) / D (x ^ n) = n!
The other is y = ln (x), which proves that d ^ 100 (y) / D (x ^ 100) = 99! / x ^ 100

Mathematical induction, n = k is tenable, prove n = K + 1, the specific method is enough