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For Matrix-valued Functions, Does D D T Exp ⁡ ( A ( T ) ) = A ′ ( T ) Exp ⁡ ( A ( T ) ) \frac D {dt} \exp(A(t)) = A'(t)\exp(A(t)) D T D ​ Exp ( A ( T )) = A ′ ( T ) Exp ( A ( T )) Imply A ′ ( T ) A ( T ) = A ( T ) A ′ ( T ) A'(t)A(t)=A(t)A'(t) A ′ ( T ) A ( T ) = A ( T ) A ′ ( T ) ?

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