Q8. Given f(x) = 3 2x – 1 if x<1 Sx+2 if x >1 if x21 - (a) Determine f-'((2,4)).Then discuss the continuity of f(x). (b) Use a nother approach to discuss the contunity of f(x).

Q: Consider the function f(x) where. 2x²-x +3. if x>2 jf x=2 if x<a f(x) = 4 4-X Is the function…

A: Solution:

Q: Find f g and g of, where f (x) = x^2 + 1 and g(x) =3x + 2, are functions from R to R.

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Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Determine f '(x) for the function

A: The derivative of the function is computed as follows.

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

A:

Q: 2) Evaluate f(x) when x = -6, x = 1, x = 4. Find F(-2)= Find F(0)= Find F(1)=

A: Let's find.

Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Fnd f'Ce) of the fallowing functien. f Cx)

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Q: Assume that the function f is a one-to-one function. (a) If f(5) = 2, find f-'(2). Your answer is…

A: Given that to he function f is one-to-one function.

Q: Find f(x) if F(x) = (1-ex)U(x-c).

A: Finding the pdf from the given cdf of X.

Q: 7- Differentiate Y= f(g(x4)) h³(√x)

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Q: If f(x)= anx", specify the domain of f.

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Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

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Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: f(x) = x+3/x-3 concave upward       concave downward

A: Given, f(x) =x+3x-3

Q: The critical point of the function f(x) = x³ – 5x² + 2x – 17 is %3D - o (용, 1) ㅇ (름, 1) o (음,-1) (금,…

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