I want to derive the spherical Bessel function, so I first construct the spherical Bessel function by using Bessel function.
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Because I want to derive the spherical Bessel function, I want to first construct a symbolic expression of the spherical Bessel function, and then use the diff function to get the first derivative, and then convert it into a function handle.
However, when n is large, the symbolic expression of spherical Bessel function has problems（In the figure below, I haven’t derived the spherical Bessel function yet, but there has been a case of non-convergence, so it can be seen that the derivative is also non-convergence）：

If I don’t need to find the derivative of Bessel function, then I only need to use the handle to complete this task. I need to construct a function to find the first derivative of spherical Bessel function at any point. Is there any good way?I want to derive the spherical Bessel function, so I first construct the spherical Bessel function by using Bessel function.
,
Because I want to derive the spherical Bessel function, I want to first construct a symbolic expression of the spherical Bessel function, and then use the diff function to get the first derivative, and then convert it into a function handle.
However, when n is large, the symbolic expression of spherical Bessel function has problems（In the figure below, I haven’t derived the spherical Bessel function yet, but there has been a case of non-convergence, so it can be seen that the derivative is also non-convergence）：

If I don’t need to find the derivative of Bessel function, then I only need to use the handle to complete this task. I need to construct a function to find the first derivative of spherical Bessel function at any point. Is there any good way? I want to derive the spherical Bessel function, so I first construct the spherical Bessel function by using Bessel function.
,
Because I want to derive the spherical Bessel function, I want to first construct a symbolic expression of the spherical Bessel function, and then use the diff function to get the first derivative, and then convert it into a function handle.
However, when n is large, the symbolic expression of spherical Bessel function has problems（In the figure below, I haven’t derived the spherical Bessel function yet, but there has been a case of non-convergence, so it can be seen that the derivative is also non-convergence）：

If I don’t need to find the derivative of Bessel function, then I only need to use the handle to complete this task. I need to construct a function to find the first derivative of spherical Bessel function at any point. Is there any good way? bessel function, numerical method, restrain oneself MATLAB Answers — New Questions

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