The limit V4 +h -2 lim h 10 h represents the derivative of some function f(1) at some number a. Find f and a. f(z) = %3D a =

Q: Find the limit by evaluating the derivative of a suitable function at an appropriate point. Hint:…

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Q: Suppose f(x) can find a derivative at x = a, then the following limit is equal to f'(a) is ( ).…

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Q: 4x at Use the limit definition of the derivative to find the slope of the tangent line to the curve…

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Q: Use the limit definition of the derivative function to find 4 x*]. dz Which of the following sets up…

A: We need to evaluate an equivalent expression of the following derivative using limit definition…

Q: 3. The graph of f'(x), the derivative of f(x), is continuous for all x and consists of five line…

A: The graph of f'x is given as , find the absolute maximum value of fx over the interval 0,3.

Q: The limit below represents a derivative f' (a). Find f(x) and a. 43+h - 64 lim h-0 h f(x) = a =

A: The limit below represents a derivative f'(a) defined byf'(a) = limh→0 43+h-64h  ....(1)we find f(x)…

Q: Suppose f(x) can find a derivative at x = a, then the following limit is equal to f'(a) is ( ). (A)…

A: Since :                 f(x) can find a derivative at x=a, then the limit equal to f'(a) is :…

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

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Q: The slope of a line passing through the point (a,b) not on f(x), and a tangent  to f(x) = x² can be…

A: Given curve is: f(x) = x2 The equation of the tangent line of the given curve is: y-y1=m(x-x1) where…

Q: The population growth of a certain city is given by the function P(t) = 0.9(1.5)', where t is time…

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

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

A: Since solve the first question for you. If youwant any specific question to be solved then please…

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

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Q: We are given that the derivative of a function f (x) at z = 4 is equal to f'(4) = 3. Which, if any,…

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Q: 1 f(x) x – 2 Use the limit definition of the derivative to find (1) f' ( – 1) = (ii) f ' (0) = (iii)…

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Q: In(e+h) – 1 The limit lim h→0 represents the derivative of some function f at some h number a. State…

A: the derivative of any function f(x) is given by .

Q: Use the limit definition of the derivative function to find 4 x2]. dz Which of the following sets up…

A: The objective is to use the definition of limit to find the derivative.

Q: 4 Given the function f (x) = :3 using the limit shown below. You do not have to simplify your…

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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: Determine if the following piecewise defined function is differentiable at x = 0. 4x- 1, X20 f(x) =…

A: We have to solve the right hand derivative

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: Find the limit by evaluating the derivative of a suitable function at an appropriate point. Hint:…

A: We first modify the form of the given limit.…

Q: Use the definition of a Derivative to show that the function is not differentiable at x = 1. Why is…

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Q: Suppose a function f satisfies f(3+h) – 2 lim = 7. Find an equation for the line tangent to the…

A: Let

Q: (a + h) - (a) lim- If =b h , where b is a finite constant, then the function y= a. - f(x) has a…

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Q: Which of the following is the correct limit defihition for the derivative of g(x) = + 4? Select the…

A: Consider the formula for the limit of the  function f(x).

Q: Given f(x) = 3 find f'(x) using the limit definition of the derivative. - f'(x)=

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Q: Find the derivative of the function by the limit process. g(t) = t³ +7t g'(t) =

A: We have to find derivative

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: Find the derivative of the function by the limit process.

A: We have to find derivative of the given function by limit process: gt=t3+4t We know the derivative…

Q: lim h→0

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

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: Q3) Using the definition, lim f(k+h)+f(k) h→0 ds calculate the derivatives dk of the function : S= k…

A: Using the definition of derivative have to find  dS/dk ,where S( k ) = k + 1/k.

Q: This limit represents the derivative of some function V16+h-2 f at some number a. State this f and…

A: Given limit as a derivative of the function limh→0(16+h)14-2h  we have to find the value of a and…

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 given limit represents the derivative of a function y = f(x) at x = a. Find f(x) and a. lim [2(4…

A: It is given that limit representation of the derivative of a function y = f(x) at x = a,…

Q: (2 + h)? - 4 lim h→0 h

A: Given limh→0(2+h)2-4h

Q: 11. If we are told that the tangent line to the graph of y = f(x) at the point x = 3 is y = -2x + 1…

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Q: Let f(x) = 4x + 11a – 5. %3D f(x + h) – f(x) Using the definition of derivative, f'(x) = lim h enter…

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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 a derivative f' (a). Find f(x) and a. sin ( +h) – 1 lim h-0 h f(x) = a =

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Q: The graph of the derivative of a function f is given. According to the graph, f has a local minimum…

A: We know that local minima and maxima exist at critical points (where function is not defined or it's…

Q: Consider the function (x) = -2r (a) Using the limit definition of the derivative, find f'(1). (b)…

A: (a). As we know that the expression for the derivative, according to the definition of limit is:…

Q: 4. The graph of f'(x), the derivative of a function f(x), is shown at right. Which of the following…

A: f(x) is continous at x=a f(x) is also differentiable as f'(x) exists at x=a ; Since f'(a) is not  0…

Q: te the derivative of f(x) USing the efinition of the derivative lim f(xth)-fx) f(x)=(2-3x)2 %3D

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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: Find the limit of the function along the path y = 2x X-1 lim (x.y)-(0,0) y -1

A: We have to find the limit of the function along the path

Q: The limit below represents a derivative f (a). Find f(x) and a. (6 + h)° – 216 lim h→0 h f(x) = a =

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Q: Consider the function y = g(x)= -x² + 3x +2. Compute g(2). Use the limit definition of the…

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

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