Let X=L'[0,1] and x=2()- Find Ilallp for P-4 and ∞

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

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Q: Find the power function f(x)= cx^k such that f(1) = 2 and f(2)=64

A: Given f(x) = cxk and we have to find the values for c and k.

Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

A: Given f(x)=6+4x-5 The objective is to find f-1(x).

Q: dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find…

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Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

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Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: Find The Valle f X 十 キ

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Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

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Q: Kim throws a ball against a wall at time t = 0 At time t = 1 , it hits the wall and then at time t =…

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Q: Find an equation for the line tangent to the graph of 2x f(x) %3D x + 4 at the point (2,…

A: The standard form of the tangent helps to find the required equation. The standard form of the…

Q: At which point is g(t) discontinuous?  g(t) = t^2+2, if t ≠ 1 -2, if t = 1

A: gt=t2+2,  if t≠1-2    ,  if t=1 The given function is continuous for all t≠1, because it is a…

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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Q: (4³ + 6)%,' = x^(,5 + 6)5 y

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Q: Find f'(x) and simplify. X X-19 f(x) = Which of the following shows the correct application of the…

A: Given that       f(x) = x/(x-19)

Q: Determine p' (x) if p(x) = (5x)" and a = 4. .

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Q: find all pairs (m, n) of positive integers such that ϕ(ϕ(n^m)) = n, where ϕ(n) is Euler's totient…

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Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

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Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x)…

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Q: Determine y'of (3x + 1)*(2x – 1)³

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Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: Let f(x) ƒ'(0) = = 2e²+3 + e².

A: Given query is to find indicated derivative.

Q: Find the derivative of f(x) = x In(x) 1- In(x) O In(x) O1+ In(x) O In(x) /x

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Q: Evaluate x' V1+x? xp=

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Q: List all intervals for which there are possible unique solutions (t-5)x''-ln(t)y'-y=et

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Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

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Q: Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5]. O f(4)=0.31,…

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Q: Suppose that Find f'(2). f'(2) = f(x) = = e³x x² + 4

A: Given f(x)=e3xx2+4   We are required to findf'(2)         The following formulas of derivatives has…

Q: Find the curve whose slope at the point (x, y) is x' +2x² – 7x +9 if the curve is required to pass…

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