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(tgX)’ = sec²X (cotgX)’ = -cossec²X (secX)’ = secX.tgX (cossecX)’ = -cossecX.cotgX (A )’ = A .LnA (e )’ = e (Log X)’ = 1/(X.LnA) (LnX)’ = 1/X.Lne = 1/X (arcsenX)’ = 1/ (arccosX)’ = -1/ (arctgX)’ = 1/1+X² Log A = B . Log A Y = X LnY = CosX.LnX Y = f’(X) = Lim X Log X = Y X = a Equação simétrica da reta Equação paramétrica da reta • ( ) Equação do plano A = | x | = | || |sen Área do pararelogramo Volume do paralelepípedo X X X X B CosX CosX.LnX X→ Y A X X a √ √ → → → → 1-X² 1-X² e f(X XΔ+ )-f(X) X-X Y-Y Z-Z 1/X = X Sen(2 ) = 2Sen( ).Cos( ) X>0 Ln1 = 0 = B-A = P = (X , Y , Z ) e = (A, B, C) = = = ► A B C X = X + A Y = Y + B ► Z = Z + C D = -(AX +BY +CZ ) AX+BY+CZ+D = 0 ► ► h = (| x |) / | | V = | x • | ► 0 -1 Δ Δ θ AB u v v u v u u v w onto 0 0 0 etor 0 0 0 0 0 0 0 0 0 u α λ λ λ v PQ u v u v α α α |ijk| |abc| |def| |abc| |def| |lmn| X’ = 1 (1/X)’ = -1/X² ( )’ = 1/2 (X )’ = NX (u+v)’ = u’+v’ (uv)’ = u’v+uv’ (Kv)’ = Kv’ (1/v)’ = -v’/v² (u/v)’ = (u’v-uv’)/v² (senX)’ = cosX (cosX)’ = -senX √ √X X N N-1 (tgX)’ = sec²X (cotgX)’ = -cossec²X (secX)’ = secX.tgX (cossecX)’ = -cossecX.cotgX (A )’ = A .LnA (e )’ = e (Log X)’ = 1/(X.LnA) (LnX)’ = 1/X.Lne = 1/X (arcsenX)’ = 1/ (arccosX)’ = -1/ (arctgX)’ = 1/1+X² Log A = B . Log A Y = X LnY = CosX.LnX Y = f’(X) = Lim X Log X = Y X = a Equação simétrica da reta Equação paramétrica da reta • ( ) Equação do plano A = | x | = | || |sen Área do pararelogramo Volume do paralelepípedo X X X X B CosX CosX.LnX X→ Y A X X a √ √ → → → → 1-X² 1-X² e f(X XΔ+ )-f(X) X-X Y-Y Z-Z 1/X = X Sen(2 ) = 2Sen( ).Cos( ) X>0 Ln1 = 0 = B-A = P = (X , Y , Z ) e = (A, B, C) = = = ► A B C X = X + A Y = Y + B ► Z = Z + C D = -(AX +BY +CZ ) AX+BY+CZ+D = 0 ► ► h = (| x |) / | | V = | x • | ► 0 -1 Δ Δ θ AB u v v u v u u v w onto 0 0 0 etor 0 0 0 0 0 0 0 0 0 u α λ λ λ v PQ u v u v α α α |ijk| |abc| |def| |abc| |def| |lmn| X’ = 1 (1/X)’ = -1/X² ( )’ = 1/2 (X )’ = NX (u+v)’ = u’+v’ (uv)’ = u’v+uv’ (Kv)’ = Kv’ (1/v)’ = -v’/v² (u/v)’ = (u’v-uv’)/v² (senX)’ = cosX (cosX)’ = -senX √ √X X N N-1 (tgX)’ = sec²X (cotgX)’ = -cossec²X (secX)’ = secX.tgX (cossecX)’ = -cossecX.cotgX (A )’ = A .LnA (e )’ = e (Log X)’ = 1/(X.LnA) (LnX)’ = 1/X.Lne = 1/X (arcsenX)’ = 1/ (arccosX)’ = -1/ (arctgX)’ = 1/1+X² Log A = B . Log A Y = X LnY = CosX.LnX Y = f’(X) = Lim X Log X = Y X = a Equação simétrica da reta Equação paramétrica da reta • ( ) Equação do plano A = | x | = | || |sen Área do pararelogramo Volume do paralelepípedo X X X X B CosX CosX.LnX X→ Y A X X a √ √ → → → → 1-X² 1-X² e f(X XΔ+ )-f(X) X-X Y-Y Z-Z 1/X = X Sen(2 ) = 2Sen( ).Cos( ) X>0 Ln1 = 0 = B-A = P = (X , Y , Z ) e = (A, B, C) = = = ► A B C X = X + A Y = Y + B ► Z = Z + C D = -(AX +BY +CZ ) AX+BY+CZ+D = 0 ► ► h = (| x |) / | | V = | x • | ► 0 -1 Δ Δ θ AB u v v u v u u v w onto 0 0 0 etor 0 0 0 0 0 0 0 0 0 u α λ λ λ v PQ u v u v α α α |ijk| |abc| |def| |abc| |def| |lmn| X’ = 1 (1/X)’ = -1/X² ( )’ = 1/2 (X )’ = NX (u+v)’ = u’+v’ (uv)’ = u’v+uv’ (Kv)’ = Kv’ (1/v)’ = -v’/v² (u/v)’ = (u’v-uv’)/v² (senX)’ = cosX (cosX)’ = -senX √ √X X N N-1 (tgX)’ = sec²X (cotgX)’ = -cossec²X (secX)’ = secX.tgX (cossecX)’ = -cossecX.cotgX (A )’ = A .LnA (e )’ = e (Log X)’ = 1/(X.LnA) (LnX)’ = 1/X.Lne = 1/X (arcsenX)’ = 1/ (arccosX)’ = -1/ (arctgX)’ = 1/1+X² Log A = B . Log A Y = X LnY = CosX.LnX Y = f’(X) = Lim X Log X = Y X = a Equação simétrica da reta Equação paramétrica da reta • ( ) Equação do plano A = | x | = | || |sen Área do pararelogramo Volume do paralelepípedo X X X X B CosX CosX.LnX X→ Y A X X a √ √ → → → → 1-X² 1-X² e f(X XΔ+ )-f(X) X-X Y-Y Z-Z 1/X = X Sen(2 ) = 2Sen( ).Cos( ) X>0 Ln1 = 0 = B-A = P = (X , Y , Z ) e = (A, B, C) = = = ► A B C X = X + A Y = Y + B ► Z = Z + C D = -(AX +BY +CZ ) AX+BY+CZ+D = 0 ► ► h = (| x |) / | | V = | x • | ► 0 -1 Δ Δ θ AB u v v u v u u v w onto 0 0 0 etor 0 0 0 0 0 0 0 0 0 u α λ λ λ v PQ u v u v α α α |ijk| |abc| |def| |abc| |def| |lmn| X’ = 1 (1/X)’ = -1/X² ( )’ = 1/2 (X )’ = NX (u+v)’ = u’+v’ (uv)’ = u’v+uv’ (Kv)’ = Kv’ (1/v)’ = -v’/v² (u/v)’ = (u’v-uv’)/v² (senX)’ = cosX (cosX)’ = -senX √ √X X N N-1 (tgX)’ = sec²X (cotgX)’ = -cossec²X (secX)’ = secX.tgX (cossecX)’ = -cossecX.cotgX (A )’ = A .LnA (e )’ = e (Log X)’ = 1/(X.LnA) (LnX)’ = 1/X.Lne = 1/X (arcsenX)’ = 1/ (arccosX)’ = -1/ (arctgX)’ = 1/1+X² Log A = B . Log A Y = X LnY = CosX.LnX Y = f’(X) = Lim X Log X = Y X = a Equação simétrica da reta Equação paramétrica da reta • ( ) Equação do plano A = | x | = | || |sen Área do pararelogramo Volume do paralelepípedo X X X X B CosX CosX.LnX X→ Y A X X a √ √ → → → → 1-X² 1-X² e f(X XΔ+ )-f(X) X-X Y-Y Z-Z 1/X = X Sen(2 ) = 2Sen( ).Cos( ) X>0 Ln1 = 0 = B-A = P = (X , Y , Z ) e = (A, B, C) = = = ► A B C X = X + A Y = Y + B ► Z = Z + C D = -(AX +BY +CZ ) AX+BY+CZ+D = 0 ► ► h = (| x |) / | | V = | x • | ► 0 -1 Δ Δ θ AB u v v u v u u v w onto 0 0 0 etor 0 0 0 0 0 0 0 0 0 u α λ λ λ v PQ u v u v α α α |ijk| |abc| |def| |abc| |def| |lmn| X’ = 1 (1/X)’ = -1/X² ( )’ = 1/2 (X )’ = NX (u+v)’ = u’+v’ (uv)’ = u’v+uv’ (Kv)’ = Kv’ (1/v)’ = -v’/v² (u/v)’ = (u’v-uv’)/v² (senX)’ = cosX (cosX)’ = -senX √ √X X N N-1 (tgX)’ = sec²X (cotgX)’ = -cossec²X (secX)’ = secX.tgX (cossecX)’ = -cossecX.cotgX (A )’ = A .LnA (e )’ = e (Log X)’ = 1/(X.LnA) (LnX)’ = 1/X.Lne = 1/X (arcsenX)’ = 1/ (arccosX)’ = -1/ (arctgX)’ = 1/1+X² Log A = B . Log A Y = X LnY = CosX.LnX Y = f’(X) = Lim X Log X = Y X = a Equação simétrica da reta Equação paramétrica da reta • ( ) Equação do plano A = | x | = | || |sen Área do pararelogramo Volume do paralelepípedo X X X X B CosX CosX.LnX X→ Y A X X a √ √ → → → → 1-X² 1-X² e f(X XΔ+ )-f(X) X-X Y-Y Z-Z 1/X = X Sen(2 ) = 2Sen( ).Cos( ) X>0 Ln1 = 0 = B-A = P = (X , Y , Z ) e = (A, B, C) = = = ► A B C X = X + A Y = Y + B ► Z = Z + C D = -(AX +BY +CZ ) AX+BY+CZ+D = 0 ► ► h = (| x |) / | | V = | x • | ► 0 -1 Δ Δ θ AB u v v u v u u v w onto 0 0 0 etor 0 0 0 0 0 0 0 0 0 u α λ λ λ v PQ u v u v α α α |ijk| |abc| |def| |abc| |def| |lmn| X’ = 1 (1/X)’ = -1/X² ( )’ = 1/2 (X )’ = NX (u+v)’ = u’+v’ (uv)’ = u’v+uv’ (Kv)’ = Kv’ (1/v)’ = -v’/v² (u/v)’ = (u’v-uv’)/v² (senX)’ = cosX (cosX)’ = -senX √ √X X N N-1
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