Use the function f and the given real number a f(x) = x + 5 X+1' X > -1, a = 2 (f-¹)'(a) = find (f 1)(a). (Hint: See Example 5. If an answer does not exist, enter DNE.)

Q: ,6 .6 If f(x)dx=10 and| f{x)dx=3, then | f(4 – x)dx=? -2

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Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

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Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation:

Q: 2. dx

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Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

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Q: 1)State the expression for the central difference representation of O(2) for nth derivative of a…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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Q: Let a be a fixed positive number, not equal to 1. Let f(x) = e-e*. %3D Find the real number x1 such…

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Q: If f(x) is a pdf, then f(x) can take any value in R (i.e., f(x) can be any real number). O True…

A: We have given that the statement about to the probability density function (pdf) f(x).

Q: let (X)> and fre)=2, f ( X) is

A: Answer and explanation is given below

Q: √x √x + √√y = 1

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Q: In another universe, there are some extra functions that their mathematicians use: stars, sun and…

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Q: The graph of f', the derivative of f, is shown in the graph below. If f(3) = 3, what is the value of…

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Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

Q: 24. f(x) is a function such that f*(x) > 0 for x =0 and f"(0) is undefined. Sketch 2 different…

A: If f′′(x)>0 for x≠0, it means that the second derivative of f(x) is positive everywhere except at…

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: The graphs of the functions are shown in the Let h(x) = f(x) g(x) and k(x) = f(x) g(x) & figure. ,…

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Q: Differentiate the function. H'(z) = H(z) = In c²-2² c²+z²

A: H(z)=lnc2-z2c2+z2

Q: 1 3. Let f (x) = 4x +- х Find f'(x) S f(x)dx а. b. Find

A: Here given as fx=4x+1x Differentiate as f'x=ddx4x+1x=ddx4x+ddxx-1=4-x-2=4-1x2

Q: Excrcise 10. Find the derivative d -7x * [" (t³ + 2) dt dx

A: Given,          ddxx∫57xt3+2dt

Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: An angle's initial ray points in the 3-o'clock direction and the angle measures radians. Which of…

A: It is given that an angle's initial ray points is in the 3-o'clock direction.

Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

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Q: Evaluate ₁ f (x) dx if ƒ(x) · = O 14 O 12 O 8 06 2x x-1 if x 3

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Q: Use the definition to find f' (a). Show all your work. 1 f(x) : x + 3

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Q: Write all answers with numbers rounded to two decimal places. In Calculus the derivative of…

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