DLMF:22.13.E6 (Q7057)

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DLMF:22.13.E6
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    ( d d z nd ( z , k ) ) 2 = ( nd 2 ( z , k ) - 1 ) ( 1 - k 2 nd 2 ( z , k ) ) , superscript derivative 𝑧 Jacobi-elliptic-nd 𝑧 𝑘 2 Jacobi-elliptic-nd 2 𝑧 𝑘 1 1 superscript superscript 𝑘 2 Jacobi-elliptic-nd 2 𝑧 𝑘 {\displaystyle{\displaystyle\left(\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{% nd}\left(z,k\right)\right)^{2}=\left({\operatorname{nd}^{2}}\left(z,k\right)-1% \right)\left(1-{k^{\prime}}^{2}{\operatorname{nd}^{2}}\left(z,k\right)\right),}}
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