ܵ ܵ ܵ ܲ ܐܦܠܘܼ ܚܕ ܐܬ̣ ܘܼ ܝܢܡܼ ܕܝ (ܓ) = 0 ܕܟ ܕ ′ [ܓܦ(ܟ)] = ܓܦ (ܟ) ܕܟ ܕ ′ ′ [ܦ(ܟ) + ܩ(ܟ)] = ܦ (ܟ) + ܩ (ܟ) ܕܟ ܕ ′ ′ [ܦ(ܟ) − ܩ(ܟ)] = ܦ (ܟ) − ܩ (ܟ) ܕܟ ܕ ′ ′ [ܦ(ܟ) × ܩ(ܟ)] = ܦ(ܟ) × ܩ (ܟ) + ܦ (ܟ) × ܩ(ܟ) ܕܟ ′ ′ ܕ ܦ(ܟ) ܩ(ܟ) × ܦ (ܟ) − ܦ(ܟ) × ܩ (ܟ) [ ] = 2 ܕܟ ܩ(ܟ) [ܩ(ܟ)] ܕ ′ ′ [ܦ(ܩ(ܟ))] = ܦ (ܩ(ܟ)) × ܩ (ܟ) ܕܟ ܕ ܢ ܢ−1 (ܟ ) = ܢܟ ܕܟ ܕ (eܟ) = eܟ ܕܟ ܕ ܟ ܟ (ܐ ) = ܐ ln|ܟ| ܕܟ ܕ 1 ln|ܟ| = ܕܟ ܟ ܕ 1 (log ܟ) = ܕܟ ܐ ܟlnܐ ܵ ܵ ܵ ܲ ܐܦܠܘܼ ܚܕ ܐܬ̣ ܘܼ ܝܢܡܼ ܕ (sin(ܟ)) = cos(ܟ) ܕܟ ܕ (cos(ܟ)) = −sin(ܟ) ܕܟ ܕ (tan(ܟ)) = sec2(ܟ) ܕܟ ܕ (csc(ܟ)) = −csc(ܟ)cot(ܟ) ܕܟ ܕ (sec(ܟ)) = sec(ܟ)tan(ܟ) ܕܟ ܕ (cot(ܟ)) = −csc2(ܟ) ܕܟ ܕ 1 (sin−1(ܟ)) = ܕܟ 2 √1 − ܟ ܕ 1 (cos−1(ܟ)) = − ܕܟ 2 √1 − ܟ ܕ 1 (tan−1(ܟ)) = 2 ܕܟ 1 + ܟ ܕ 1 (csc−1(ܟ)) = − ܕܟ 2 ܟ√ܟ − 1 ܕ 1 (sec−1(ܟ)) = ܕܟ 2 ܟ√ܟ − 1 ܵ ܵ ܵ ܲ ܐܦܠܘܼ ܚܕ ܐܬ̣ ܘܼ ܝܢܡܼ ܕ 1 (cot−1(ܟ)) = − 2 ܕܟ 1 + ܟ ܕ (sinh(ܟ)) = cosh(ܟ) ܕܟ ܕ (cosh(ܟ)) = sinh(ܟ) ܕܟ ܕ (tanh(ܟ)) = sech2(ܟ) ܕܟ ܕ (csch(ܟ)) = −csch(ܟ)coth(ܟ) ܕܟ ܕ (sech(ܟ)) = −sech(ܟ)tanh(ܟ) ܕܟ ܕ (coth(ܟ)) = −csch2(ܟ) ܕܟ ܕ 1 (sinh−1(ܟ)) = ܕܟ 2 √1 + ܟ ܕ 1 (cosh−1(ܟ)) = ܕܟ 2 √ܟ − 1 ܕ 1 (tanh−1(ܟ)) = 2 ܕܟ 1 − ܟ ܕ 1 (csch−1(ܟ)) = − ܕܟ 2 |ܟ|√ܟ + 1 ܵ ܵ ܵ ܲ ܐܦܠܘܼ ܚܕ ܐܬ̣ ܘܼ ܝܢܡܼ ܕ 1 (sech−1(ܟ)) = − ܕܟ 2 ܟ√1 − ܟ ܕ 1 (coth−1(ܟ)) = 2 ܕܟ 1 − ܟ