DLMF:22.13.E9 (Q7060)

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DLMF:22.13.E9
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    ( d d z sc ( z , k ) ) 2 = ( 1 + sc 2 ( z , k ) ) ( 1 + k 2 sc 2 ( z , k ) ) , superscript derivative 𝑧 Jacobi-elliptic-sc 𝑧 𝑘 2 1 Jacobi-elliptic-sc 2 𝑧 𝑘 1 superscript superscript 𝑘 2 Jacobi-elliptic-sc 2 𝑧 𝑘 {\displaystyle{\displaystyle\left(\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{% sc}\left(z,k\right)\right)^{2}=\left(1+{\operatorname{sc}^{2}}\left(z,k\right)% \right)\left(1+{k^{\prime}}^{2}{\operatorname{sc}^{2}}\left(z,k\right)\right),}}
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    DLMF:22.13.E9
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