diff(RingElement,RingElement) -- differentiation

Synopsis

• Function: diff

• Usage:

  diff(x,f)

• Inputs:
  • x, a ring element, a polynomial
  • f, a ring element, a polynomial in the same ring as x
• Outputs:
  • a ring element, the result of differentiating f by the differential operator corresponding to x.

Description

i1 : R = QQ[x,y,z];

i2 : diff(x,x^7 + 4*x^3*y - 3*y)

       6      2
o2 = 7x  + 12x y

o2 : R

i3 : diff(x^2+y^2+z^2, y^2*z^2 - x^3 - 1)

       2     2
o3 = 2y  + 2z  - 6x

o3 : R

i4 : diff_x x^6

       5
o4 = 6x

o4 : R

See also

• contract -- contract one matrix by another
• jacobian -- the Jacobian matrix of partial derivatives
• diff and contract