DLMF:18.9.E22 (Q5618)

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DLMF:18.9.E22
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    test
    d d x ⁡ ( ( 1 - x 2 ) 1 2 ⁢ U n ⁡ ( x ) ) = - ( n + 1 ) ⁢ ( 1 - x 2 ) - 1 2 ⁢ T n + 1 ⁡ ( x ) . derivative 𝑥 superscript 1 superscript 𝑥 2 1 2 Chebyshev-polynomial-second-kind-U 𝑛 𝑥 𝑛 1 superscript 1 superscript 𝑥 2 1 2 Chebyshev-polynomial-first-kind-T 𝑛 1 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}\left((1-x^{2})^{% \frac{1}{2}}U_{n}\left(x\right)\right)=-(n+1){(1-x^{2})^{-\frac{1}{2}}}T_{n+1}% \left(x\right).}}
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    DLMF id
    DLMF:18.9.E22
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