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:29.4
Step-by-step explanation:
Plz give me brainliest
Answer:
Answer=B
(f+g)(x)=-3x-5
Step-by-step explanation:
f(x)=x+8.
g(x)=-4x-3.
(f+g)(x) means f(x)+g(x),So
(x+8)+(-4x-3)
(add all same terms together)
=(x+(-4x))+(8+(-3))
=-3x+5
so,
(f+g)(x)=-3x+5
Answer:
-7j +3
Step-by-step explanation:
-5j -2j +3
-7j +3
like terms are combined. combine the js
