The absolute value function is defined as
If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.
If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.
But if x = 0, the derivative doesn't exist!
In order for the derivative of a function f(x) to exist at x = c, the limit
must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.
If x approaches 0 from below (so x < 0), we have
whereas if x approaches 0 from above (so x > 0), we have
But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.
Putting everything together, you can define the derivative of |x| as
Answer:
3h²
Step-by-step explanation:
factor or breakdown 3h² : 3 * h * h
factor or breakdown 3h³ : 3 * h * h * h
Now, we can see that 3 * h * h is common so 3h² is the gcf.
Answer:
25151/100000
Step-by-step explanation:
D= distance
t= time
s= speed
FORMULA
Distance= speed * time
STEP 1:
Find total distance
Jim's D + John's D= 3 miles
STEP 2:
Distance= (Jim's speed * time) + (John's speed * time)
D= 4t + 5t
3 miles= 9t
divide both sides by 9
3/9= t
reduce by 3
1/3 hour= t
STEP 3:
1 hour= 60 minutes
=1/3 * 60
=(60/3)
= 20 minutes
ANSWER: They will travel 20 minutes before they meet.
Hope this helps! If it does, please mark me brainliest! :)
Answer:
Step-by-step explanation:
We have been given a circle D. Secant BE and CF intersect at point A inside D. We are asked to find the measure of arc BF.
We know that when two secants intersect inside a circle, then the measure of angle formed is half the sum of intercepting arcs.
We know that degree measure of circumference of circle is 360 degrees, so we can set an equation as:
Therefore, the measure of arc BF is 80 degrees.
