Function f (x) = ln (x +1) Using the appropriate theorem in the range [0, m] Obtain the inequality  m/m + 1

Q: 2X+5/3-x  Find f`(x)

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Q: If f'(x)=0 for all *, then a) f(x)=(x) for every x₁ x₂ c) f(x)>(x) for every x₁>x₂ d) f(x)>(x) for…

A: If  then which option is correct .

Q: (-2, 7.333) 10 (0, 0) (5.058, 0) (-3,558, 0) 10 (3, -13.5) Complete the following statements. f'(x)…

A: The graph of the function fx is To complete the following statements :

Q: K Let f(x) - f''(x) = 3 + 3 x6

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Q: Find the absolute minimum value of f of the interval [0, 4] when f(x) = 1+6x-x².

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Q: x >0 If f(x) = { * then f is: x< 0 Select one: a. continuous at x=0 b. not continuous at x-0

A: For continuity at x = 0 check the left and right hand limit at this point.

Q: x1

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Q: Q. The function f and are de fined for x ER by fla) = Jatz -7, x 2 -2 %3D gla) = e^.3 a) Find an…

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Q: 1)cotx will be cont 0) is

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Q: Order these functions by time their complexity in ascending order 3n .2 n5:nº lg°(n), 54log25 (n) n2…

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Q: e'sin" ) *sin sech (x-2) * sech (x-2) F (x) = Explain why g(z) - 0, is not differentialble at a2. if…

A: Here, fx=exsin3πxx2sechx-23

Q: Given the functions f(x) = |x+ 9 +1 and g(x) = x²- 1, which interval contains a value of x for which…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the absolute minimum value of 32³ - 32² 2³ - 3x² +8r+7 f(x) = on the interval [0, 3]. 1. abs.…

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Q: (x+3)2 if xs-1 Let f(x) 2-x, if-11 (x+2)

A: Given function:                          f(x)=1(x+3)2 ,      if x ≤-12-x         if -1&lt; x≤1…

Q: (b) Suppose f'(x) > 1 for all x > 0, and f(0) = 0. Show that f(x) > x for all x> 0.

A: We will be using mean value theorem

Q: 2. Let f(x) = 3 - 2-ª. a) Find the largest interval containing x = 3 in which f is one-to-one. b)…

A: If f′(x)&gt;0 for all x in the interval, then the function f is strictly increasing. If f′(x)&lt;0…

Q: 17. f"(6) and f" (a) $(0) = (0) ³+4 (6) ³ + 2 Ans: f(0) = 2 for Problems 18-20 use the following…

A: Question : for problems 18-20 use the following graph. 18 . Largest open interval from where…

Q: Deduction of the second derivative criterion for optimization of functions of two variables using…

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Q: For the function below 111) IV) f(x) = (-x if x 0 Graph f(x) Determine the Domain and Range of f(x)…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.