The limit below represents the derivative of some function f(x) at some number a. 3(1+h) - 3. lim h-0 State the function and the number: f(x) = a = Add Work Check Answer

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

A: Compare the given expression with the formula of first derivative to write the function and the…

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: Computing the derivative of ƒ(x) = e2x

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

Q: Find a formula for the derivative of the function g(x) = 4x² – 5 using difference quotients: %3D g…

A: In this given question we have to find formula of derivative and find its value for given function.

Q: The limit represents a derivative f' (a). Determine f(x) and a. 12h lim h 1 h→0 (Express numbers in…

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Q: 3x+2 Using limits, determine the slope of the tangent line to f(x) = at x = 1 f(x+h)-f(x) lim h→0…

A: Given,  f(x)=3x+2x

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

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

A: Use first principal of derivative

Q: . Let: f(x) = 1 /x  (a) Use the limit definition of derivative to find f'(x). (b) Verify your…

A: Question is solved.

Q: Use the function below to answer parts (a)-(c). f(x) = x? + 1 (a) Use the formal definition to find…

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Q: 20 . Using the definition of derivative at a point, f'(9) f(x) – f(9) x – 9 Let f(x) lim enter %3D…

A: Given: fx=20x It is given that definition of derivative at a point x =9 is defined as…

Q: The limit below represents a derivative f'(a). Find f(x) and a. (6 + h)ª – 1296 lim h>0 h f(æ) = %3D…

A: Given that,  f'(a)=limh→0(6+h)4-1296h we have to find the value of f(x) and 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: If f(x) = 3x?+ 2x + 2, find f'(-1), using the alternate form of the definition of derivative. f'(-1)…

A: Solve as shown below

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

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Q: use the definition of the derivative, lim h-->0 (f+h)-f(x)/h, to find the following: f'(x) if f(x) =…

A: Given:f(x) = -2x+7to find:derivative of f(x) by limit definition.f'(x) = limh→0 f(x+h)-f(x)h

Q: Let 1 f(x) = (a) Use the limit definition of derivative to find f'(x). (b) Verify your answer to (a)…

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

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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=4x2+1 For a=2, the value of the function will be,fa=4a2+1f2=422+1=16+1=17

Q: Find the derivative of the given function using the definition: lim f(x+h)-f(x) h-0 Function: f(x) =…

A: We wil find the value of f'(x) by the required method.

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: (8+h)³ – 512 lim h-0 h

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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: Let g(x) = x - 5 . Use Definition 3.1 to determine whether the function g has a derivative at a = 6.…

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Q: f(x+h)-f(x) h Use f'(x) = lim h-0 s(x) = 6x+7 to find the derivative at x for the given function.

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

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Q: The limit represents a derivative f'(a). Determine f(x) and a. 8h lim h 1 h-0 (Express numbers in…

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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: Let g(x) = |x − 2|Use Definition 3.1 to determine whether the function g has a derivative at a = 3.…

A: Calculation:Compute the derivative of  g(x) = |x− 2| at a = 3.By the given Definition,

Q: The limit below represents a derivative f' (a). Find f(x) and a. (5 + h)? – 25 lim h-0 h f(x) a =

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Q: The limit (8+ h)² – 64 lim h→0 h represents the derivative of some function f(x) at some number a.…

A: We will find the f(x) and a by using limit definition as shown below

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 the formula below to find the instantaneous rate of change of the function at the given x-value.…

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Q: The limit represents a derivative f'(a). Determine f(x) and a. 8h lim h - 1 h→0 (Express numbers in…

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Q: Consider the function below x2 - 1 f(x) X + 3 (a) Use the limit definition to determine the…

A: Answer

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: me limit below represents a derivative f'(a) Find f(r) and a lim h-0 (5 + h)² – 25 h. 10

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Q: (2 + h)? - 4 lim h→0 h

A: Given limh→0(2+h)2-4h

Q: Usc the Definition, f'cx=lim f (x th)- fCx), to find the derivative for the function fa)=-2x²+x-2…

A: Given function  fx=-2x2+x-2 The derivative can be found by f'x=limh→0fx+h-fxh

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: f(x+h)-f(x) For f(x) = x- + 2x, use the definition of the derivative f'(x) = lim h→0 to find f'(x).…

A: Using the definition of derivative formula,

Q: Use the definition of the derviative to compute the derivative of f(x) = vx + 8 at the specific…

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Q: 2. The derivative of a functionfwith respect to x is given by (w)-r(x) a) f'(x) = limwx e) f"(x) =…

A: The derivative of a function f with respect to x is given by

Q: 4. a) Write the limit definition of f (a) b) Use the limit definition to find the indicated…

A: We have to find

Q: f(a+ 3h)– f(a- 2h) When f' (a) =1 in the function f (x), obtain an extreme value of lim h h→0

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Q: Let g (x) = 12/x+ 10x . Use the limit definition of derivative to find the derivative of g (x) at 2.…

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