If 7х- 5,х <1 { h(x) = 3x2 – x , 1 < x< 3 Is h(x) continuous at (x=1)?

Q: Let f'(x) = f(x) = = 4x √8 - 6x

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Q: For each of the above functions, prove that f(f-1(x)) = f-1(f(x)) = f(x) = +6 f(x) = x3 + 2 f(x)…

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

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Q: f(x) = |x| · : %3D Then f-l(x) = if x > 0, and f-l (x) = if x < 0.

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Q: Let x + 5 f(x) f-'( – 2) = Preview

A: We will find f^-1(x) first. Plug f(x)=y Then switch x and y Then solve for y. Put y=f^-1(x)

Q: Let z +1 f(x) x + 10 f'(- 7) =

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Q: Let x + 4 f(x) x + 9 f '(- 1) =

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Q: (d) Using your result from part (c), write the vector y = and a vector in W¹. 6 as the sum of a…

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Q: Let x +1 f(x) = x + 9

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Q: Suppose that f(x) (-4)= (2) = = x¹ + 4x³ − 1 - x² Evaluate each of the following:

A: Given query is to find indicated derivative.

Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: Let x + 2 f(x) x + 6 1( – 10) - -

A: Given f(x)=x+2x+6

Q: Let ƒ(x) = (7x² − 7)¹ (6x² − 3)⁹ - Find f'(x) = do not oxpand an

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Q: Let f(r) = 2e" + 7x + 6 , then f '(8) = Answer:

A: According to question given thatf(x)=2ex+7x+6

Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

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Q: Letf(x) =x^x^xforx >0.Findf′(x).

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Q: Let f(x) = ( – 2° + 2)* (5æ² + 4)" f' (x) =

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Q: If f(x) = e, how many zeros does f'(x) have on the closed interval [0,2x]? (A) One (В) Two (C) Three…

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Q: Let f'(x) = ƒ(x) = (8x² − 8)^(2x² — 6) ¹²

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Q: Let f be a function defined by: f(x) = ln(22x). In Then, f-¹(x) = e¯* + 2. ос إختر واحداً: True…

A: Topic = Functions TRUE

Q: Show that 2x² + 3x - 5 11x7 ƒ (x) = { is continuous and differentiable at x = 11. x 11

A: Concept If f( x ) is continuous at x = a then limx→a-f( x ) =limx→af( x ) = limx→a+f( x )

Q: Differentiate f ( x ) = 2e* – 8*

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.