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DADiSP Worksheet Functions > Function Categories > Polynomials > POLYDER
Calculates the derivative of a polynomial.
POLYDER(p, form)
r = POLYDER(p, q, form)
(n, d) = POLYDER(p, q, form)
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p |
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A series, the coefficients of the source polynomial. |
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q |
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Optional. A series, the coefficients of a polynomial to multiply with p or divide into p depending on the number of the output arguments. |
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form |
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Optional. An integer, the polynomial coefficient form:
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A series, the resulting polynomial coefficients.
r = POLYDER(p) returns the polynomial coefficients of the derivative of p.
r = POLYDER(p, q) returns the polynomial coefficients of the derivative of
(n, d) = POLYDER(p, q) returns n the numerator and d the denominator polynomial coefficients of
polyder({1, 2, 3})
returns the series {2, 2} representing the polynomial:
as the derivative of:
polyder({1, 2, 3}, 0)
returns the series {2, 6} representing the polynomial:
as the derivative of:
polyder({1, 2, 3}, {1, 2})
returns the series {3, 8, 7} representing the polynomial:
as the derivative of the polynomial:
(n, d) = polyder({1, 2, 3}, {1, 2})
n == {1, 4, 1}
d == {1, 4, 4}
representing the polynomial:
as the derivative of:
polyder(polyint({1, 2, 3}))
returns the series {1, 2, 3} indicating that POLYINT is an inverse function of POLYDER.
If the input is a matrix, POLYDER considers each column to represent the polynomial coefficients with the result having the same number of columns as the input.
See POLYINT to perform polynomial integration.