The limit below represents the derivative of some function f(x) at some number a. 2(2 + h)* – 32 lim h →0 State the function and the number: f(x) = Preview

Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: Identify this limit as derivative; Lim it's f'cx) whe'e fa)E - メ+Ax 7.

A: We need to find limit as f'(x)

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A: The definition of the derivatives of the function helps to find the required function. The…

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A: a) Using the limit definition of f'(x) we get:

Q: Use the definition of the derivative, f'(x) = lim z+h)-(2) to findf' (x) where f(x) = x³ +1. h→0 O…

A: fx=x3+1

Q: 6. Using the limit definition of the derivative, f(x+h) - f(x) f'(x) = lim h 0 %3D h. compute f'(x)…

A: Given function is

Q: 1. a) From our class discussions, recall that the derivative of a function f at a is, by definition,…

A: We can find the answer as given below

Q: G. Find the derivative of the following functions using the limit definition. 1. g(t) = 2-5t 5t+2 2.…

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Q: 2) The limit below represents the derivative of some function f(x) at some number a.…

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Q: 3. Complete the following statement. a. The following limits represent the derivative of some…

A: Use first principal of derivative

Q: Use the limit definition to find the derivative of the function. f(x) = x? – x +1 f(x + h) – f(æ)…

A:

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

A: The derivative of the function fx at some number a is given by f'a = limh→022+h4-32h…

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

A:

Q: 5. We want to find the derivative of f(x) –3x2 from limit definition. 5a Find f(x+h) in expanded…

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Q: FIND THE DERIVATIVE OF THE FUNCTION BY THE LIMIT PROCESS. SHOW YOUR STEP BY STEP SOLUTIONS.  2.…

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Q: Question Which of the following is the correct limit definition for the derivative of g(x) = 2"? %3D…

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Q: Let g(x)=(1)/(1+x). Use the limit definition of the derivative to find g'(1). Use the formula…

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

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Q: The limit below represents the derivative of some function f(z) at some number a. 6(3+ h) - 162 lim…

A: Definition: The derivative of function fx at a point x=a is given by limh→0 fa+h-fah.

Q: The limit lim h→0 ((√ 144 + h) – 12)/ h represents the derivative of a function f(x) at a number a.…

A: Given,           limh→0144+h-12h represents the derivative of a function f(x) at a number a.

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: 11. Evaluate derivative of the following function using definition of the derivative (limit…

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Q: Let 1 f(x) = x +3 Use the limit definition of the derivative to find the following. (a) f'(-7) = (b)…

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Q: Let f(x) : x +1 Use the limit definition of the derivative to find () f'(-5) = (i) f'(-2) = (ii) f'…

A:

Q: Find the derivative of the function by the limit process. g(t) = t³ + 6t g'(t) =

A: We can find the answer as below.

Q: B. Use the definition of the derivative (the limit of a difference quotient} to find a formula in x…

A: Given function : Using the definition of the derivative formula:

Q: The limit below represents a derivative f'(a). Find f(x) and a. (2+ h)* – 16 lim h-0 h f(x) = %3D a…

A: We have to find the function f(x) and value of a from the given limit.

Q: lim h→0

A: F'(x) at x=a is  limh->af(h)-f(a)h-a

Q: Given the function f(x) = 5 ln(x – 1), write an expression that represents the derivative of f using…

A: Given function, f(x)=5lnx-1

Q: The limit V4+h-2 lim h0 h represents the derivative of some function f(x) at some number a. Find f…

A: Solved below

Q: Can you please help me step by step with this problem?

A: From the given graph, it can be clearly seen that the corresponding function is:

Q: The limit below represents a derivative f'(a). Find f(x) and a. (3 + h)* – 81 lim h→0 h f(x) = a =

A:

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

A: We need to find right hand derivative of given function.

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

A: For the right hand derivative we use equation y=3x-13 limh->0+f(4+h)-f(4)h f(x)=3x-13…

Q: 7. Explain why for any function g, limg(c +h) = lim g(x). Use this to show that f'(c) = lim f(x) –…

A: Consider the given function limh→0gc+h=limx→cgx

Q: The following limit gives the derivative of a function f(x) at a point xo: lim h→0 (2+h)³-8 h -8)…

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Q: The following limit represents the derivative of the function f at some number a. Find f and a.

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Q: Evaluate the derivative of the function given below using a limit definition of the derivative. f(x)…

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Q: Find derivative of the following function by using formula f(x)= limit _f(a) - f(x) а -х a→X (3х-1)…

A: To find:

Q: The limit below represents the derivative of some function f (x) at some number a. 4(2 + h)° – 256…

A: We use the basic definition of derivative at a point. And compare with the given limit.

Q: Let f(r) = 3a+4a + 1 Use the limit definition of the derivative to calculate the derivative of f:…

A:

Q: The limit below represents a derivative f' (a). Find f(x) and a. sin ( +h) – 1 lim h-0 h f(x) = a =

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Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 17.…

A: See the details solution in below

Q: 24 The following limit gives the derivative of a function f(a) at a point zo: √8th-2 lim h 0 h

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Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

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Q: The following limit represents the derivative of some function f at some number a. (1+ h)10 – 1 lim…

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Q: Which of the following is the correct limit definition for the derivative of g(x) = x² + x? O (x+h)²…

A: We have given function  gx=x2+x gx+h=x+h2+x+h Derivative of g(x) is given as  g'x=limh→0gx+h-gxh…

Q: Use the limit definition of the derivative function to find 4 x . Which of the following is the…

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Q: Consider the following function: f(x) = 3x – 2x? a. Find the derivative function f'(x) using the…

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Q: Use the limit definition to find the derivative of the function. f(x) = 3x + 5 f(x + h) – f(x)…

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