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First we look at the probability of producing a total ensemble which is 1/(n+m)!. This is in any random order and any part either m or n
To further see what is going on let’s take some example let’s ...

42x^(5/2)-10x

C: 16y³ + 9x²y -54x = 0 d/dx(16y³) + d/dx(9x²y) + d/dx(-54x) = d/dx(0).............=>48y².dy/dx + 9x².dy/dx + y.18x - 54 = 0 dy/dx(48y<...

y = 3x⁴-8x³-3dy/dx = (3 x 4)x³-(8 x 3)x² dy/dx = 12x³ - 24x²

The first step is deciding on the method of integration. For this integral it makes the most sense to use substitution.Let u = x² + 1Differentiate w.r.t x => du/dx = 2xRearrange for dx=> ...