Answer:
a) dy/dx = 4/(2y+1)^2.
(b) y = 4/9 x - 14/9
(c) d2y/dx2 = -64/243
Step-by-step explanation:
You have the following equation
(1)
(a) You first derivative implicitly the equation (1) respect to x:
next, you solve the last result for dy/dx:
(2)
(b) The equation for the tangent line is given by:
(3)
with yo = -2 and xo = -1
To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:
m =
Hence, by replacing in the equation (3) you obtain:
hence, the equation for the tangent line is y = 4/9 x - 14/9
(c) To find d2y/dx2 you derivative the result obtain in the equation (2):
(4)
the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):
hence, d2y/dx2 evaluated in (-1,-2) is -64/243
Step-by-step explanation:
Answer:
144500
Step-by-step explanation:
The answer would be D yeahhhhhh
Answer:
D.)
Step-by-step explanation:
y = 5/x
so when the value of x triples, the new X becomes;
X = 3x
So,
Y = 5/ X
=> Y = 5/3x
=> Y = 1/3 . 5/x
=> Y = 1/3 . y
so the new value of y ( Y ) is 1/3 times original y.
Hence, D. is the answer
