Derivative of legendreP function

Question

Xin 2018-2-22

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/384274-derivative-of-legendrep-function

回答： Star Strider 2018-2-22

Hello. I am wondering how could one differentiate the legendre polynomial, e.g. like legendreP(5,x) can be expressed as (63*x^5)/8 - (35*x^3)/4 + (15*x)/8 and how to let matlab automatically give value of the derivative of it numerically. Is there a function that deals with this type of differentiation?

Thanks a lot

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Answer 1

Star Strider 2018-2-22

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https://ww2.mathworks.cn/matlabcentral/answers/384274-derivative-of-legendrep-function#answer_306590

The best way to compute the derivative of a vector (that I assume you are computing) is to use the gradient (link) function. The advantage is that it produces a result vector the same length as the argument vector. See the documentation for the details of the computations it uses and its other abilities.