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: f(x) = ln[x(x + 6) 5 (x²+2)4] f'(x) =

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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: Let f(x) = 2x e¯x*,x > 0 and Let Y x2. Find G(y)and g(y). %3D

A: In this question,  we need to transform the variable in the probability density function.

Q: f(X1,X2) = f(X1). f(X,) If are not 1 independent then ylgn

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

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Q: f(X1,X2)= f(X,).f (X2) If X,~N(H1,0) X2~N (H2,0) are not independent then ylgn ihi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: af Suppose f = f(x, y) and let |(0,5)= 2 and |(0,5) = 8. 3x Define the function g(t) = f(tº - t,…

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Q: |- Let f(x, y) = y²e* +y find fryy

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Q: Let/be differentiable for all x, lff(1) = - 2 and f'(x) 22 for all xe (1, 6), then find the range of…

A: f(1)=-2  f'(x)&gt;=2  for 1&lt;x&lt;6

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: x3 +x2 3 Prove that if f (x) then f"(x) = – x² Find g'(x) and g"(x) if g(x) = (2x – 3)² (x + 4)³. 2…

A: Ans (1). Given that, f(x) = x3+x2-12x2 f(x) = x + 1 - 12x2 now differentiate the function, f'(x) = 1…

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(2) = 2, F'(2) = 3, H(2) = 4, H'(2) = 3. A. If G(z) = F(z)*H(z), then G'(2) = _______ B. If…

A: The Product Rule:The Quotient Rule:

Q: f(x.y)= arccos( x² + y² - 3)+ In(x² +y° -3) Which of the following is the domain of function (0)…

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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(x, y, z) = e−(x2+y2+z2) (a) Describe the domain of f. (b) Determine the range of f.

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Q: Given f(x, y) and y = y(x), we can define a composite functiong(x) = f(x,y(x)).

A: a)Given , gx=fx,yx Then, g'x=∂f∂x+∂f∂yddxyx  [∵y=yx]⇒g'x=∂f∂x+∂f∂yy'x

Q: Consider the table of vales for the functions r). J ), u() and g'(x): If the function k is defined…

A: Given, k(x) = f(g(x))

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) .