Yay, implicit differnentiation
when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx
for x, the dy/dx dissapears
ok
so differnetiate and solve for dy/dx
3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)
so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5
answer is 2/5
1 meter = 1000 millimeters.
3.2 * 1000 = 3200 millimeters
So no, 3.2 meters is not equal to 320 millimeters.
Answer:
h(-8)=1 and -12
Step-by-step explanation:
In this problem, we will need to plug in "-8" for any x we see.
h(-8)=|-8+4|-3
h(-8)= |-4|-3
h(-8)=4-3
h(-8)=1
Yay! We got an answer. However, since there is an absolute value, there is another case -- if x is negative.
h(-8)=-8-4
h(-8)=-12