uppose g : R → R where g(x) = . List the ai 1) If S = {x|1 < x < 6}, find g(S) p) If T = {2}, find g¬'(T)

Q: Local linearization is used to justify L'Hopital's Rule when f and g are differentiable and…

A: Not only zero , when both f(a) and g(a) are infinite , in that case we can also use L'Hospital rule

Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

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Q: Let h(x) = f(g(x)). If: f(3) = 0, f'(42) = –5, f'(3) = 4, g(3) = 42, & gʻ (3) = 0, then h'(3) =

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Q: find the local max and min values and saddle points of the function f(x,y)=xy*(1-x-y)

A: Consider the function f(x, y) = xy(1 – x – y).To find the local maximum and minimum values and…

Q: Ex. 4) For F and G functions and given that: F(5) =-1,F'(5) =-3 G(5) = 4 G'(5) = 2 a) If P(x)= F(x)·…

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Q: Let 7(t) = FindF (t) 구' (t) - <| Question Help: OVideo Submit Question

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Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: 2. If g(x) = (ƒ 03ƒ •4f)(x) = ƒ (3ƒ (4ƒ(x)). Determine gʻ(3), given f(3) = 1, ƒ(4)=1, ƒ'(3) = 2 and…

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Q: Let f(æ) = (x – 9)* – 5, determine f-(x). f\(x) =|

A: We need to find inverse function.

Q: 3. Find f. (g) f'(x) = 2x – e

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Q: f : R --> R is defined by f(x) = 2x+1, A= (0,1)  and B = [ -1,1 ]    find f [A] and f-1[B]

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Q: Let the function f(z) have the property that f'(z) = z+5 If g(z) = f(z') find g'(z). %3D g'(z) =O

A: We have to find g'(x) .