Find all critical numbers of f(x) = 4x3- 3x2– 18x + 2 O -- (A) (B) 3 - 2. (D) O 1.

Q: Differentiate f(x) = 3 (√4x² + 2x + 7x+2) x+1

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Q: - x + 1 If f(x) = find (fof) (x). X - 1

A: The composite function f∘fx is consist of two functions. Both functions are fx. We can also write…

Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: f(x) = 8+x 8 - x on [4, 6].

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Q: S(x) =x-5x+1, -2 <x<3

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Q: d(x) = x - 1, f(x) = x²00 factor not a factor

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Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

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Q: -4x For the function f(x) = e¯X+4e*, then f(x) = %3D

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Q: 4) Find f(x - 1) when f(x) - 4x2 - 4x - 7.

A: f(x) = 4x2 - 4x - 7 f(x-1) = ?

Q: Expand f(2) = z-5)(=-15) in the domain 5 < |2 < 15 .

A:

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: fx) = x-x, g(x) = 9-2r, and h(x) = x² + 2x-63

A: Given f(x) = x2-x, h(x) = x2+2x-63 To find the function (f-h)(x) By definition of the difference of…

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

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Q: Given f(x)= x^3 − 6x^2+9x, find the multiplicity of the zero at x = 3

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Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: Find f(f(f(1))) given 2 +3 2x – 6 if 2 5 f(f(f(1))) =

A: Given query is to find the indicated composite function.

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: lim [x² + 3x – 5]

A:

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: Let f(x) = 5x - 2 and g(x) = 2- x^2. Find the following. A) g(f(3)) B) f(g(x)) C) ff(x))

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Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

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Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

Q: f (x) = -3x2 + 3x – 3 and | x 9

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Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

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Q: 3(z+9)=

A: 3(z+9)=3z+9×3 By simplify the equation by open the bracket

Q: (x) = 2x - 3           x = 5 Compute f -1 (x

A:

Q: Evaluate f (z) = 3z² – 5x for f (-2) O 2 O 2 O - 22 O 22

A: We have to find the value of function

Q: differentiate f(x) = O O O O - 1 1 9x2+ 13x-5 18x + 13 (9x²+ 13x - 5) 3/2 1 (9x² + 13x - 5) 3/2 18x…

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Q: Find fof where f(x) = 3x 5 and f: R R. - O al f(f(x)) = 9x – 20 O b f(f(x)) 9г? — 30х -25 Oo f(f(x))…

A:

Q: Let f(x)=x^2-6x+9. Find x such that f(x)=1 The solutions are nothing

A: First I have set the polynomial equal to 1  That is set,  f(x)=1 and solve for x, we get x=2, X=4

Q: Find the hcf of f(x) = x^5 + 3x^4 + 10x^3 + 19x^2 + 22x + 32 and g(x) = x^3 + 3x^2 + 7x + 10 in…

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Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.