Sketch a graph of a function f that is continuous on (- o0,00) and has the following properties. f'(x) <0 and f"(x) <0 on (- 00, - 3); f'(x) <0 and f"(x) >0 on (-3,00) Choose the correct answer below. O A. OB. Oc.

Q: 6.) Use the limit definition of the derivative to find f' (x), given f(x)=x-3 x+5

A: Consider the function

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A: Using definition of derivative, the derivative of function f(x) is given by: f'(x)=limh→0…

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

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A: Given f(x) is continuous and differentiable and f(3) = f(s) = 2Concept Roll's Theorem If f(x) is…

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Q: If f is continuous on (-o, co), what can you say about this graph?

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Q: Q7 Show that f is continuous on (-∞, 0) sinxif x - 4

A: Trigonometric function with sine and cosine in continuous in its domain.    Here in this question,…

Q: Determine if the function f(x)= is continuous -- sin(x) x on the interval I= (0,1).

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Q: On which interval is the function f(x) = tan x² continuous Is the function f(x) = ! - continuous at…

A: 3.1)  tan x2 =sin x2cos x2We know that sin x2 and cos x2  are both continuous functions.Thus, tan…

Q: Use the graph of the first derivative function  f'(x) to find the interval  on which function is…

A: Given: the graph of the first derivative function  f'(x).

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Q: ( 2x -. Is g(x) continuous at 2?

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Q: is there any linear independent functions with n – 1th continuous derivative g1, 92, ... , gn(with…

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Q: Find the number c which will make the function continuous on (-00, 00). x< 2 f(x) = x+ c, x22

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Q: Calculate Ls for on the interval

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Q: Find the instantaneous rate of change of each function at the given x-value. Use the form lim…

A: a) Given that…

Q: If a function contains a “jump,” occurring at a certain x value, then can the function be…

A: No function is not continues at this x.  Because function has jump discontinue at this x.

Q: find the x-values (if any) at which ƒ is not continuous. Which of the discontinuities are removable?

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Q: If f is continuous on (-x, ∞), what can you say about its graph?

A: If f is continuous on (-oo oo) what can you say about its graph?

Q: Suppose that f(x) is a continuous function on the interval [0, π]. If f(x)=(sin x)² for 0<x<, then…

A: Since the f(x) is continuous function in [0, π], therefore the value of function at x = 0 must equal…

Q: s of f?

A: Given that: The graph derivative of f ' (x) of the function f :

Q: Find the intervals on which f(x) = cos2 x on [−π, π] is increasing and decreasing.

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Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: Explain why the function ƒ(x) = sin (1/x) has no continuous extension to x = 0

A: Then we can extend the definition of the function at that point to make it continuous there.

Q: find the derivative of the function the limit process. by flx) %3D

A: Given f(x)=1x2We know that derivative of f(x) with respect to x is defined…

Q: Suppose /has a continuous derivative on the interval [0, 6]. Assume also that f' is increasing on…

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Q: Suppose that fis a continuous function and that1. f(x)dx=-1 and L(x)dx = 5, find the value of…

A: suppose that f is continuous function . We have to find the following

Q: Show that f is continuous on (-0,00) sin x if x 4 V

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Q: Is the function 1 >-{ f(x) = √x x3 x < 0 0 ≤ x ≤ 1 piecewise continuous or piecewise smooth on [-1,…

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Q: Could the limit as xà1 of f(x)=(x+sinx)/(1+x+cosx) be found simply by substituting 1 into the…

A: Given function f(x)=(x+ sin (x))/(1+x+ cos (x)) Now we will evaluate limit of f(X) as X tends to 1…

Q: 6. Prove if the following function is differentiable y2 = (arctanx + 1)°*

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Q: Differentiate the following implicit function with respect to x: xy - -- cos (y*) a.

A: Solving the first part: Given:

Q: A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f, the tangent…

A: Given problem:- A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f,…

Q: Suppose for sume function f we heve its derivative, f'cx) = e*sin(x), on the %3D interval o< x< ar.…

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Q: The table below gives for the value of continuous function f at each x-value. Using the Intermediate…

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Q: find the value of c that make the function continuous

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Q: 2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating…

A: Given problem:- Is the function ƒ(x) = 3/x continuous on the closed interval[−1, 1]? Draw its graph…

Q: 4. "The function f(x)= x-1 is continuous on(-o, 00)". Is the statement true or false? If it is…

A: Hi there, i have explain that if x tends to 1 from right side the function will give +1 and while…

Q: let  f(x)=  x+2  if x1 Find the value of k that will make f continuous on (-∞,∞)

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Q: Would it be possible for a function to be continuous on [0,2) but not on [0,2]?

A: Let us consider the function f(x) =(x+4)/(x-2) .

Q: 2. Sketch a graph of a function f that is continuous on (-00, 00) and has the following properties.…

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Q: Give a formula of a continuous function that is differentiable except at 0.

A: Consider the provided question, For a function to be continuous at a point x=a, we say that the same…

Q: Suppose the derivative of a function fis f'(x) =(x + 1)°(x÷ 3) xH6) On what interval is finereasing?…

A: For f to be increasing, f' must be positive.

Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

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Q: f(x)=√√x at x = 7

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