find domain of Function composition f(x)=,

Q: 1 f(x) rank- 3x

A: Let's find.

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

A: Consider the given function fx=1x

Q: Determine analytically the point (s) at which the graph of the function has a horizontal tangent. x2…

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Q: Use the limit definition to find the derivative of the function f(x) 7 %3D x-3

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Q: Find the domain of function defined as follows. y = ln(x2 - 16)

A: y=lnx2-16Domain:       The domain of a function is the set of all possibleinputs for the function

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

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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: c) f(x) = V3sinx d) f(x) = x³tan(5x)

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Q: Why does the Mean Value Theorem not apply to the function f(x)=x^(1/2) on the interval [-1,1]?

A: Mean value theorem can be applied on a function f(x) in [a,b] only when the function f(x) is…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. x2…

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Q: Let f(x)= 3x^2+x-5. Using the definition of the derivative, find f’(x).

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Q: Where is the function f(x) =| x | differentiable?

A: Given information: fx=x The function, after removing modulus function, y=x=x,      x>0=-x,…

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: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

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Q: x+1 3 y = x–1

A: Given:  y=x+1x-13    Differentating with respect to xdydx=ddxx+1x-13        =ddxx+13x-13      Using…

Q: 3a. Use the limit definition of derivative to calculate f'(x) where. f(x)= 2x2 +x-1.

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Q: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

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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: Determine where the function f(x) is continuous. f(x) = /2-x

A: We have to determine where th function f(x)=(2-x)^(1/3) is continuous

Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 4x2 + 8x + 3 f'(x) f"(x)

A: The given function is fx=4x2+8x+3. Calculate the first derivative and second derivative by using…

Q: Let f (x) = 2x² + 1. Use the limit definition of the derivative to find f'(x) %3D

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Q: Use the formula  to find the derivative of the function

A: Givenf(x)=1x+2To find f'(x)

Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 4x + 3x + 3 f'(x) %3D f"(x) %3D

A: fx=4x2+3x+3 Now,…

Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

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Q: Differentiate the function. f(x) = (tan x)3×

A: As per bartleby policy we are supposed to answer only 1 question per post. This post contains 2…

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: Use the limit definition of the derivative to find f'(x). 2x f(x) = x+3

A: Given function is

Q: Differentiate the function with respect to the independent variable. f(x) = 2x° In xº f'(x) =O

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Q: Find the derivative of the algebraic function. f(x) = (x3 − x)(x2 + 2)(x2 + x − 1)

A: Given information: fx=x3-xx2+2x2+x-1

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

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Q: 3. Use the limit definition of a derivative to find f'(x) if f(x) = 3x2 - 5x %3D

A: f(x)=3x2-5x

Q: Find the intervals on which the function is continuous. f (x) = { %3D 3, x = 2

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Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…

A: The Given Function f(x) contains rational function x/(x2+1) and polynomial function function…

Q: Differentiate. f(x) = 5x^5 - 8cos(x) f'(x) = ?

A: Given f(x)=5x5-8cos(x)

Q: Let f(x) = x-3 Use the definition of derivative to find f'(x). %3D 2C

A: Given : fx = xx-3

Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the…

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because…

Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 5x2 + 4x + 1 f'(x) f"(x)

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Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: Use the limit definition to find the derivative of the function. f(x) = 3x2 + 8x f'(x) =

A: From the limit defination the derivative of a function formula is f'(x)=limh→0[f(x+h)-f(x)]/h

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h0…

A: Given: f(x)=x3

Q: Find the critical and inflection points of the function f(x) = 4sin³x – 3cos²x

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Q: the derivative of f(x) = x% (x% +x% + x%

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Q: What are even and odd functions of symmetry? For example f(-x)=-f(x), f(-x)=f(x), Symmetric about…

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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: Use the limit definition to find the derivative of the function. f(x) = x² + 5x – 5 - f(x + h) – f…

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