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Question: about D[ ]

Question:about D[ ]

lei_xiaowen 294 Maple
derivative
May 12 2010
0

I use D[ ] to get partial derivatives,

as follows,I donot know is it right?

w := proc (x, y) options operator, arrow; A*(x^4-2*L*x^3+L^3*x)*sin(n*y/R) end proc

t4 := (D[`$`(1, 4)](w))(x, y)+2*(D[`$`(1, 2), `$`(2, 2)](w))(x, y)+(D[`$`(2, 4)](w))(x, y)

t8 := (D[`$`(1, 8)](w))(x, y)+4*(D[`$`(1, 6), `$`(2, 2)](w))(x, y)+6*(D[`$`(1, 4), `$`(2, 4)](w))(x, y)+4*(D[`$`(1, 2), `$`(2, 6)](w))(x, y)+(D[`$`(2, 8)](w))(x, y)

s := (D[`$`(1, 4)](w))(x, y)

t := (D[`$`(2, 2)](w))(x, y)

f := d*t8*w(x, y)/h+E*s/R^2+p*R*t4*t/h; Q := simplify(f/(A*sin(n*y/R)))

coeff(Q, x, 4)

Is it right?

Thank you

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