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Q: 24 The following limit gives the derivative of a function f(x) at a point zo: lim h→0 √8+h 2 h Which…

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Q: Draw a graph to match the description given. f(x) has a positive derivative over (- o, -5) and…

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Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the…

A: a)

Q: 3. Let f(x) = (x+ 1)2" (a) Use the limit definition of the derivative to find f'(x). the fu (b) Use…

A: Here given function fx=1x+12 (a) Now find the derivative using the limit definition…

Q: The limit below represents the derivative of some function f(x) at some number a. 2(1+ h)* – 2 lim…

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Q: (b) List all intervals where the function is continuous, in interval notation. (c) What is the…

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Q: The graph of f'(x), the derivative of f(x), is shown here. f'(x) The domain of f(x) is the open…

A: Here,         D. The graph of f(x) has an inflection point at (b, f(b)) is true.

Q: Each limit represents a derivative f '(a). Find f (x) and a.

A: Compare the given equation with this

Q: let f(x)= sqrt (x+3) and P (6,3) a.  Use the definition of the derivative to find f'   Hint:  the…

A: let f(x)= sqrt (x+3) and P (6,3)  Use the definition of the derivative to find f'  Evaluate f'(6)…

Q: 4:5 8:5 -0.5 -1.5 H 1 #

A: The graph of the derivative of the function: f is provided. We need to determine the intervals for…

Q: The given limit represents the derivative of a function at y = f(x) at x = a. Find f(x) and a. 2(3 +…

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Q: Let f(x) be a function that is defined everywhere. Given to the  right is a first derivative sign…

A: Note: There are many subparts in the question. So I will answer the first three subparts of the…

Q: Please answer the question and show the solution (do note that there are two parts to the question).

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Q: Each limit represents a derivative f'(a). Find f (x) and a.

A: Consider the given: limh→052+h−25h

Q: The limit below represents the derivative of some function f(x) at some number a. 6(3+h)- 486 lim |…

A: we know that the derivative of function f(x) at point x= a is given as limh→0f(a+h) - f(a)h

Q: Use limits to find the derivative function f' for the function f. - Evaluate f'(a) for the given…

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Q: (d) D1 I can uuse the limit definition of the derivative to determine the differentiability of a…

A: Given, The limit definition of the derivative of the function is  f'(a)=limh→0fa+h-fah Use the…

Q: The derivative of a function of f at z is given by f(z+h)-f(x) f' (포) - Jim, h0 provided the limit…

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Q: The limit below represents the derivative of some function f(x) at some number a. 2(2 + h)* – 32 lim…

A: To determine the function f(x) and point a.

Q: Each limit represents a derivative f'(a). Find f (x) and a.

A: Consider: f'a=limh→05+h3-125h. Find fx and a.   Since derivative at a point a is f'a=limh→0fa+h-fah…

Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Use limit definition to solve

Q: The limit below represents the derivative of some function f(x) at some number c 4(3+ h) -324 lim h…

A: We have to solve

Q: The limit expression below represents the derivative of some function f evaluated at some number x.…

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Q: The limit below represents a derivative f' (a). Find f(x) and a. (3+ h)² – 9 lim h→0 h f(x) = a =

A: Given limh→03+h2-9h

Q: The graph of the continuous function g, the derivative of the function f, is shown above. The…

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Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Assume f (x) = esin z + 1. Which of the following is the correct formula for f'(3)? esin(3+h) – esin…

A: We have to choose correct formula for f'3 if fx=esinx+1. We know from limit definition of…

Q: Determine if this function is continuous at z = -3 f (1) 1-3 where f (a) =-3 z- 11 and g (z) = 2 +…

A: Recall: Continuous Function : Since limx→a f(x) exists if and only if the R.H.L and L.H.L at a…

Q: 35. Which of the following statements is/are ALWAYS true? A. A function that is continuous at x-a…

A: To find the derivatives of the given functions.

Q: The limit below represents the derivative of some function f(x) at some number a. 2(2 + h)* – 32 lim…

A: Given limh→0 2(2+h)4-32h ...(1)

Q: 2. Which statement is not true? a. If a function f (x) has a derivative at x, then it is said to be…

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Q: V16 + h – 4 lim

A: Given: limh→016+h-4h

Q: The limit below represents the derivative of some function f(x) at some number a. 5(2 + h)° – 320 -…

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Q: Let f(x) = 2л-5х' Then the slope of the tangent line to the graph of y = f(x) at the point (T, -) %|…

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Q: The limit below represents the derivative of some function f(x) at some number a. 5(2 + h) – 160 lim…

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Q: Use limits to find the derivative function ƒ′ for the followingfunctions f. b. Evaluate ƒ(a)for the…

A: Given function is fx=7. Given function is a constant function. So, for any value of x value of…

Q: The limit below represents a derivative f'(a). Find f(x) and a. (6 + h)? – 36 lim h→0 h f(x) = a =

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Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the…

A: Given function is ft=3t4. We know that, f'x=limh→0fx+h-fxh Therefore, using above definition of…

Q: The limit below represents a derivative f'(a). Determine f(x) and а. sin (5 + h) – 1 | lim h-→0 h O…

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Q: The limit expression below represents the derivative of some function f evaluated at some number x.…

A: Right-hand derivative definition f'x=limh→0fx+h−fxh

Q: (4 + h)² – 16 lim n→0 h

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Q: 4. A function g is defined to be: (b) If we chose c as in part (a), is at z 1? Explain why or why…

A: The given function is,g(x)=-x2+cif x>11if x=12x-3if x<1

Q: The graph of the derivative f'(x) of a continuous function f is shown. On what intervals is f…

A: Given, The graph of  f'x   We have to find the intervals on which f is decreasing.

Q: The limit below represents the derivative of some function f(x) at some number a. 3(3 + h) - 243 lim…

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Q: The limit below represents the derivative of some function f(x) at some number a. 3(3 + h)* – 243…

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Q: The limit V4 +h -2 lim h 10 h represents the derivative of some function f(1) at some number a. Find…

A: We know the derivative of f(x) at some number a is defined as f'(a) = limh→0f(a+h) - f(a)h…

Q: The limit below represents the derivative of some function f(x) at some number a. 2(3 + h)* – 162…

A: we have given the derivative of a function at some number a . We have to find the function and that…

Q: Which of the following is true? O If the function is continuous at x = c then you can use the…

A: The function needs to be differentiable near x=c, to use the tangent line approximation at x=c.

Q: Suppose that f has a positive derivative for all values of x and that f(1) = 0. Which of the…

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Q: m #3: The following limit represents the derivative of some function f at some number a. Find such…

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