jax.numpy.polyder#

jax.numpy.polyder(p,m=1)[source]#

Returns the coefficients of the derivative of specified order of a polynomial.

JAX implementation ofnumpy.polyder().

Parameters:

• p (ArrayLike) – Array of polynomials coefficients.

• m (int) – Order of differentiation (positive integer). Default is 1. It must bespecified statically.

Returns:

An array of polynomial coefficients representing the derivative.

Return type:

Array

Note

jax.numpy.polyder() differs fromnumpy.polyder() when an integerarray is given. NumPy returns the result with dtypeint whereas JAXreturns the result with dtypefloat.

See also

• jax.numpy.polyint(): Computes the integral of polynomial.

• jax.numpy.polyval(): Evaluates a polynomial at specific values.

Examples

The first order derivative of the polynomial\(2 x^3 - 5 x^2 + 3 x - 1\)is\(6 x^2 - 10 x +3\):

>>>p=jnp.array([2,-5,3,-1])>>>jnp.polyder(p)Array([  6., -10.,   3.], dtype=float32)

and its second order derivative is\(12 x - 10\):

>>>jnp.polyder(p,m=2)Array([ 12., -10.], dtype=float32)