Guía 11 Derivada Implícita y Razón de Cambio

x cos(y cos(y) + y +  y cos(x cos(x)

dy dx

−1 =0

( π2 , 1)

sin(xy sin(xy)) + 3y 3 y  = 4 sin(xy sin(xy)) + e + exy =  ex

(π, 1) ( 32 , 23 )

x3 + y 3 = 3xy 2xy

(1, (1, π2 )

sin(y) = 2π − π sin(y

2y3 + y 2

−y

5

=  x 4

3

− 2x

+ x2

x m

X  1 m(v 2 2

k, v0

x0

− v ) = 21 k(x  − x ) v  =0 2 0

m d2 x dt2

=

dv dt

=  a

dx dt

2 0

dv = dt

=  v

 −kx.

2

v

x

v v 2 = 2gs + c

g

s

c d2 s dt2

=

dv dt

= a

ds dt

= v

V  2[ m  ] h 1 2

[m  ] h

V 

3[m]

1[m]

100[km/h] 50[km/h]

3[m3 /min]

g  = 32[ fs t ] 2

t =

1 θ(t) = gt2 2

√ π 4

y

P 

x2

 

7 + xy 2 = 4y + 8

(2, y) y > 2 x2 + 2xy

− 3y

2

=0

(1, 1) (1, 1)

L

2

2

3

3

x + y

√  √ 

= 4

(2 2, 2 2)

L

60[km h−1 ]

25[km h−1 ]

·

·

0, 5[m3 s−1 ] 0, 25[m]

·

AC  = b ∠ACB  =

60

B

5[ft s−1 ]

·

θ

AB = c 2[m s−1 ]

C  A

CB = 2b

b[m]

B

·