Let f(x) = v9 – x + 2. Determine f-'(x) and the the domain of f(x). %3! f-(x) Domain of f-'(æ) = (Write the domain using interval notation.)

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

A: Consider the function

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: Determine the derivative of the cube root function f(x)=3√x using the limit definition.

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Q: use the second derivative test to find the local exterma of the function  f(x) =x3-9x2-48x+72 on R

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Q: 5. Use the limit definition of derivative to find f'(x) if f(x) = VT.

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Q: 4. Is the function given by G(x) 1 x-1 the interval (0, ∞)? Why or why not? continuous over

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

A: Given function isfx=3+2x-x2we have to find the  derivative by defination .Formula used :- finding…

Q: 2. FIND THE DERIVATIVE BY THE LIMIT PROCESS OF f(x)=x³-8x+9.

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Q: Use the limit definition of a derivative to find f'(x) f(x)=3x^2+2x-1

A: The formula for the limit definition of derivative is as follows: f'(x)=limh→0f(x+h)-f(x)h

Q: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

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Q: Use the limit definition of the derivative to find f'(x). f (x) = Vx + 5.

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Q: 2. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Is the function given by f(x) = 3x - 2 continuous at x = 5?

Q: If f(x) = etan-¹(x²-3) then f'(x) at x = 2 is equal to

A: SOLUTION-

Q: Let f(x)=," 1 Use the definition (first principle) to determine the 1-x derivative of ƒ(x).

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Q: If - 2x +1 ,when X#! and fcx)= 3 when x= 1 show that The function fex) Continuous at X - 1

A: The detailed solution is as follows below:

Q: 3. Is the function given by x²-4x-5 -,x< 5 f(x) =. x-5 x+1, x 2 5 continuous atx=5? Why or why not?

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Q: Find the derivative of f (x) = 2/x using the limit definition.

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Q: Give an example of a function that is continuous but differentiable at x=2

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Q: Does the MVT apply to f(x) = - on the interval [1, 4]?

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Q: how would you, using a limit def. of a derivative at a point find f'(-1) for the function f(x). =…

A: Hint:

Q: 15. If f(x) = x2 - 6x - 9, find f(x) by using the formula/limit definition of derivative.

A: Given: fx=x2-6x-9 we know that derivative for any given functionfx by using limit definition is…

Q: Find the derivative of the function f(x)=2x2 using the limit definition.

A: Limit definition of derivative of f(x) is  f'(x)=limh-&gt;0f(x+h)-f(x)h

Q: Let f(x) = Cx + 7x if x< 4 x³ - cx if x2 4. For what value of the constant c is the function f…

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Q: Use the limit definition of derivative to find f (2) if f(x) = V2x + 3.

A: Use the formula for the derivative from limit defination.

Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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

A: Given f(x)=3-2x We need to use limit definition of derivative to find f'(x) Considering the limit…

Q: Find the extreme values of the function f(x)=x√√1- x .- x on the interva

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Q: Use the limit definition of the derivative of a function to find the derivative of f(x) = 4x at x-5

A: From the given problem:   fx=4x2   From the limit definition of the derivatives:…

Q: Suppose f is a f(8(x))=2x² and differentiable function where 2x f'(x)=2+ f (x). Show that g'(x)=…

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Q: Compute f'(3) using the limit definition of derivative if f

A: Given: f(x)=6x2f'(3)

Q: Determine the open interval(s) in which f(x) = 2x3 – 6x² is increasing or decreasing. Also, ocate…

A: Given        fx=2x3-6x2

Q: Find the derivative and state the domain of f(x) = In(x + 4) %3D

A: In this question, concept of derivative is used. Derivative The derivative expresses the rate of…

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

A: Given function is

Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

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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: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

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Q: Find the value k that makes the function continuous. kx f (x) = x > 9 - -7x – 7, x < 9

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Q: 4) Use the Limit Definition of a derivative to find f '(3) if f(x): %3D 5-x

A: Given:- f(x) =2/(5-x)  To find:- Use limit Definition of a derivative to find f'(3)

Q: What is the limit that will calculate the derivative f'(2) for the function f(x)= x-1

A: solution of the given problem is below...

Q: 4 Determine the set of x-values where f(x) 12z is continuous, using interval notation. (-x,5) u (…

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

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Q: How should the function f(x)=x²-25/x+5 be defined at -5 to make it continuous at -5?

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Q: 2. Is the function given by F(x) = x². 5x + 6 continuous over the interval (-5, 5)? Why or why not?

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Q: 1 Use the limit definition of the derivative to find f'(x) if f (x)= 10x

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Q: 2. Use the definition of the derivative to find f'(7) if f(x) = 4 + 3x – 2x.

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Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given,         The local extremes of fx=x3+34x4 using the first derivative test.

Q: Find the derivative of f(x) = 5x2 + x using the limit definition of the derivative.

A: We have to find the derivative of function using limit definition of derivative where function is:…

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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Q: Find the derivative by the limit process. Rx) = 4x3 + 2x2 %3D f (x) = %3D

A: Given: f(x)=4x3+2x2 To Find: Derivative by Limit Process. Concept: dfxdx=f'x=limh→0fx+h-fxh