The given limit is a derivative, but of what function and at what point? 2-x2 lim r-X r-x

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

A: Each limit represents a derivative f '(a). Find f(x) and a.                     limh→0sinπ6+h-0.5h

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: The limit represents a derivative f'(a). Determine f(x) and a. 9h lim 1 h→0 (Express numbers in…

A: The limit represents a derivative f'(a). We have to determine f(x) and a .

Q: b. Observe that the work to find f'(a) is the same, regardless of the value of a. Based on your work…

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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: Use the limit definition to compute the derivative of the function f(x) = 3x-' at x = 5. (Use…

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Q: Use the function f(x) = 7x + 6x2 to find the following. (a)    Use the limit definition of the…

A: Consider the calculation for (a).Consider the formula for limit to calculate the derivative of f…

Q: In this example we will show that the function Sa? sin () f(x): if x + 0, if x = 0. is…

A: a) For any point other than x = 0, the values for f(x) and f(x + h) both will be on the continous…

Q: f′(x). Find the doma

A: Derivative and function: Derivative by limit definition-h→0limf(x+h)-f(x)hf(x)=2-7xf(x+h)=2-7(x+h)

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: The limit represents a derivative f' (a). Determine f(x) and a. 6h lim 1 h→0 h (Express numbers in…

A: We have to find

Q: Let f(x) √5 + 2. Using the definition of derivative at a point, a. enter the expression needed to…

A: f'(x) = limh→0f(x+h)-f(x)h ( first principle derivative)f(x) = 5x+2Apply first principle derivative…

Q: 3. Consider the function f(x) = 2Vx +1 a) Use either of the limit definitions to find the…

A: I have written the formula in the solution part with explanation

Q: Sketch the graph f(x) = } 1 not differentiable at x = 1. HINT: you need to calculate the left and…

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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: For each of the following find the derivative of the function at the point "r" by either computing…

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Q: Use the limit definition to compute the derivative of the function f(x) = 5x- at x = 3. (Use…

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

A: limh→ 05+h3-53hSimplify:=limh→ 0h2+15h+75Plug in the value h=0=02+15· 0+75=75

Q: The given limit represents the derivative of a function f at some number c. Determine c andf for the…

A: derivative by limit is given as f'(x) = limh→0 f(x+h)-f(x)hat x = cf'(x) = limh→0 f(c+h)-f(c)h

Q: Let f(x) = 2x/3. Then according to the definition of derivative f' (x) = lim;→x (Your answer above…

A: Given:

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

A: Compare the given equation with this:

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

A: Given, limh→05h-1h

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

A: Since, we have been given that f'(a)=limx→5x3-125x-5⇒f'(a)=limx→5x3-(5)3x-5-(i)

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

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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: Suppose f(x) = 8 – x². (a) Find the slope of the tangent line to the graph y = f(x) when x = -1. f(x…

A: Given function

Q: The function f' defined by the formula f(x + h) – f(x) - f'(x) = lim h→0 h is called the derivative…

A: (a) Consider the given function fx=2x2. The objective of this subpart is to find the derivative…

Q: Let f(æ) = /8x. f(x) – f(a) Using the definition of derivative at a point, f'(a) = lim %3D enter the…

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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: se x+0 has a limit on the point X = 0. Show if the function f(x) = (o, se x = 0

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Q: ( If f(x) = 4x? + 2x + 6, find f' (2), using the definition of derivative. f' (2) is the limit as x…

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

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Q: In this question you will use the definition of a derivative as a limit to find the derivative of…

A: Given,

Q: sin 0 - lim 0→ T/6 TT 1/0

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Q: Use the limit definition to compute the derivative of the function f(x) = 3x- at x = 5. (Use…

A: Given: fx=3x-1   and use the limit definition to compute the derivative of the given function at x=5…

Q: (2 + h)? - 4 lim h→0 h

A: Given limh→0(2+h)2-4h

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: 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: 3 of the If f(x) = , find f'(3), using the definition of derivative. f'(3) is the limit as x →…

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Q: Find the formula for the derivative of l(x) = 1 by using the power p2 rule. Confirm it using…

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Q: Graph the function f(x)=−2x^2 and draw the tangent lines to the graph at points whose x-coordinates…

A: Th given graph is  f(x)=-2x2 we have to draw tangent lines at points whose x-coordinates are -2, 0,…

Q: exists and is finite, we call this limit the derivative of f at x and say that f is differentiable…

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Q: Use the limit definition to compute the derivative of the function f(x) 5x-1 at x = 3. (Use symbolic…

A: From the first principle of derivative..

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

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