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kenny6666 [7]
4 years ago
15

Are absolute value functions differentiable? For example, I have f(x)=abs(x-3) on the interval [2,4]. If it is not differentia

ble, then I can't use Rolle's theorem, but I don't know if it is or isn't differentiable. How do I tell?
I took the derivative and I got (x-3)/(abs(x-3)), but I don't think that's right?
Mathematics
1 answer:
posledela4 years ago
3 0

Answer:

Step-by-step explanation:

it is not differentiable at x=3 ∈[2,4]

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Four is no less than the quotient of a number x and 2.1.
ivann1987 [24]

Answer:

4 > x/2.1

Step-by-step explanation:

4 cannot be less than anything, so the inequality sign has to be "eating" the 4.

4 > ?

The quotient of a number x and 2.1 is simply saying division

4 > x/2.1

5 0
3 years ago
Can some one please help . Thanks I appreciate it.
Anon25 [30]
Here you go.

Good luck!

5 0
4 years ago
1²+3²+4²+.......+(2n-2)²= ⅓n(2n-1)(2n+1)
sergiy2304 [10]
                       1² + 3² + 4² + 4(n - 1)² = ¹/₃n(2n - 1)(2n + 1)
                       1² + 3² + 4² + (2n - 2)² = ¹/₃n(2n - 1)(2n + 1)
              1 + 9 + 16 + (2n - 2)(2n - 2) = ¹/₃n(2n(2n + 1) - 1(2n + 1))
  10 + 16 + (2n(2n - 2) - 2(2n - 2)) = ¹/₃n(2n(2n) + 2n(1) - 1(2n) - 1(1)    16 + (2n(2n) - 2n(2) - 2(2n) + 2(2)) = ¹/₃n(4n² + 2n - 2n - 1)
                     26 + (4n² - 4n - 4n + 4) = ¹/₃n(4n² - 1)
                            26 + (4n² - 8n + 4) = ¹/₃n(4n² - 1)
                              26 + 4n² - 8n + 4 = ¹/₃n(4n²) - ¹/₃n(1)
                              4n² - 8n + 4 + 26 = 1¹/₃n³ - ¹/₃n
                                    4n² - 8n + 30 = 1¹/₃n³ - ¹/₃n
                                          + ¹/₃n                     + ¹/₃n
                                 4n² - 7²/₃n + 30 = 1¹/₃n³
                   -1¹/₃n³ + 4n² - 7²/₃n + 30 = 0
             -3(-1¹/₃n³ + 4n² - 7²/₃n + 30) = -3(0)
-3(-1¹/₃n³) - 3(4n²) - 3(-7²/₃n) - 3(30) = 0
                        4n³ - 12n² + 23n - 90 = 0
8 0
4 years ago
Fine the sum of the first 17 terms of the arithmetic sequence 10,14,18,22,26
Natasha2012 [34]
10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74
7 0
4 years ago
David drove 870 miles in 12 hours. At what rate did David drive per hour?
Montano1993 [528]

Answer:

72.5m/hr

Step-by-step explanation:

Divide 870 by 12 to represent how many miles David drove in 1 hour.

870 \div 12=72.5

David drove 72.5 miles per hour.

8 0
2 years ago
Read 2 more answers
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