Formulário Calculo I

Prévia do material em texto

(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