Refer to the function f(x)=[x] determine f(0.8)

Q: Use the first and second derivatives of (x)= x - 3x + 1 to determine the intervals on which f is…

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Q: Determine whether function is continuous and/or differentiable at x = 1. f (x) = 1/x

A: Consider the given function fx=1x

Q: Consider the function f(x) = xn , where n is odd. Does f −1 exist? Explain.

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Q: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: Describe the interval(s) on which the function is continuous. f(x) = (x + 1)/√x

A: We can not have negative number inside the square root.  So, x≥0   And we can not have 0 in the…

Q: Sketch the graph of the function f(x). f(x) is continuous from the right at x = 3, but not from the…

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Q: Differentiate the function.      f(x)  =        ______1______                            In x

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Q: What is the domain of the secant function?

A: Secant function , Sec xWe know        Sec x=1cos xTo find domain Put cos x=0

Q: Use the definition of derivative to find f'(x) for f(x) = ax² + 10. f(x+h)– f(x) | f'(x) = lim h0 h

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Q: Use the first and second derivatives of f(x) = x³ – 3x² + 1 to determine the intervals on which f is…

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Q: Are the following functions continuous? Explain X, x < 1 f(x) = x2. 1 < x x < 3 g(x) 3 < x

A: Given, f(x)=x    ,x≤1x2   ,1&lt;xg(x)=x     ,x≤3x2    ,3&lt;x The function f(x) is continuous, To…

Q: Consider f : R → R given by f(x) = x². What are the domain, codomain and range of f?

A: Let a function f : A→B thenDomain: set ACodomain: BRange: Values that comes out after putting values…

Q: Explain why you can not apply the mean value theorem to the function f(x) = x2/3 on the interval…

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Q: Determine where the function f(x) is continuous.

A: The given function is , fx =x-8

Q: f(x)=/7x* + J5x° = Jx

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Q: Differentiate  f and find the domain of f f(x)  =   x / ( 1 -  ln (x-1 ))

A: Given: fx=x1-lnx-1 we know that domain of given function is  1-lnx-1≠0lnx-1≠1…

Q: Find the denhetive f fue function: In(G at

A: Explained below

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x    . e…

A: Derivative of a function is the rate of change of function with respect to another variable.…

Q: Suppose that f is a differentiable function such that f(g(x)) = x, and f'(x) = 1+ (F(x))*. What is…

A: Given that f(g(x)). = x  and f'(x)= 1+(f(x))2 and we find g'(x). Here i attached solution of this…

Q: Determine whether the function of f(x) is continuous at x = -1 x2 -1 f(x) ={ x +1 X + -1 -2 X = -1

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Q: Let f be a function defined by f(x) = ln(3 − 2x). What is the maclaurin function expression of the…

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Q: Is the function continuous  f(x) = e^x / 1 - e^x

A: We need to check the continuity of the function

Q: Sketch the graph of f(x) = x lxl. Then show that f '(0) exists.

A: A function is a relation which maps each value in domain to exactly one value in range.  For a…

Q: Consider a function f(x) = |x – 3|. a. Show that f (x) is not differentiable at 3. -

A: Given         f(x) =|x-3|

Q: Determine the domain of the function and prove that it is continuous on its domain f(x) = √(x2+9)

A: Solution:Given     f(x)=x2+9To find the domain of the function  and to prove f is continous on its…

Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: X- e.

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Q: Determine the domain of the function f(x) = In(ln r) + x

A: f(x) = ln(ln x) + x f(x) is not defined if ln x &lt;= 0 [as then ln(ln x) is not defined] ln x &lt;=…

Q: Calculate the extremum point of below function and Classify it f(x) = 4 x³ + 2 v11 – x + x?

A: It is given that fx=4x3+211-x+x2. We have to find the local maximum and local minimum points of the…

Q: Let f and g be the functions defined for x > 0 by f(x) = (Væ)* and g(x) = (Vx)** Which function is…

A: According to the given information, Consider the function f and g defined as:

Q: Find ao of the function f(x) 1-Cosx f(x) =

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Q: Determine f ″ ( x ) for f(x) = sec x

A: Given function: fx=secx

Q: Use the definition of f'(x)=lim/(*+h)-J (x) to find the derivatives of h (а) h0 f(x)=x²-x+2.

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Q: Differentiate the function. h(x) = In(x + V - 12

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Q: find domain of Function composition f(x)=,

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Q: Determined where the function f(x) is continuous

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Q: Where is f(x) = e* continuous?

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Q: Differentiate the function. g(x) = In(xe-Sx)

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Q: Differentiate f(x) = (a-x)(a + x) with respect to x. Assume that a is a positive constant. f'(x) =

A: Solving the problem by finding the value of the differentiation.

Q: Differentiate the function. f(x)  = In 1/x

A: Given: The function fx=ln1x, To find: The differentiation of given function.

Q: Find an equation for f(x) using the secant function. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . the secant function is in the form of as…

Q: Redefine the function f to make it continuous at x = 0. -8x + 36 + x (х — 4) ; x + 0,4 f(x) = 4; x =…

A: Consider the condition for continuity.

Q: Assume that we have functions f(x) and g(x) so that

A: Given functions - ∫-13f(x) dx = -1∫35f(x) dx = 4∫-11g(x) dx = 3∫15g(x) dx = 2∫-152f(x)-5g(x)dx = ?

Q: Describe the domain and range of the function. f(x, y) = In(xy-1) Dor

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Q: Describe the x-values at which f is differentiable f(x) = √(x + 1) + 1

A: We have to describe the x-values at which f is differentiable fx=x+1+1. We know that a function f is…

Q: Make a sign diagram for the derivative of the rational function. 6 f(x) = x + 3 f'(x) < 0 undefined…

A: Given function, fx=6x+3

Q: Differentiate the following functions with respect to x using first principle rule. i. f(x) = x²

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find an equation for f(x) using the secant function. f(x) = %3D

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Q: Draw a function F(x), defined for all real numbers x, that satisfies the following properties.…

A: The first derivative is everywhere positive and the second derivative is everywhere negative