You have the following function:

Derivate implictly the previous expression, as follow:

Where you have used that:

Then, the implicit derivative of the given expression is:

Next, solve for y' as follow:

Answer:
Figure A
Step-by-step explanation:
Hope it helps.
Answer:
Hi how are you doing today Jasmine
Answer:
85°
Step-by-step explanation:
Please follow along with these directions on the attached picture so that this makes sense. I have labeled the picture with the variables I used and the angles I figured out.
Let's start in the top left corner. Remember: triangles always have 180°, and straight lines always have 180°.
180-115 = 65
65+85+x = 180, so x = 30
30+90+y = 180, so y = 60
180-155 = 25
25+60+z = 180, so z = 95
180-95 = 85°
Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.