5x2 If f(x) = 3 then f'(0) is 4x + 2 O 1/3 3 O - 3 O - 1/3

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

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Q: How can I show that f(x) is O(x2), where f(x) = 6x2 + x + 1

A: Given: f(x) = 6x2 + x + 1

Q: 7x + 3 Given f(x) then f-1(x) will be 8

A: f(x)=7x+38 , we have to find f-1(x)

Q: f(x)= 3x2 -2, find f '(-2) O -12 none of these answers O 12 6x

A: Consider the function  f(x)=3x2−2

Q: of Find (7,- 2) if f(x,y) = 4x² + 7xy - 3y? + 6x - 5y - 2. of (7,- 2) = (Simplify your answer.)

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Q: f (x) = x2 - 1 / x + 4  Find the following:   5) f (2x)  6) f ( a + k)

A: Given:-   fx =x2-1x+4   now, a. f(2x) f2x=2x2-12x+4 = 4x2-12x+4 = 4x2-12x+2 = 4x22x+2-12x+2 =…

Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: If f(x)=x^3+2, g(x)=x−2, h(x)=√x, then (f∘g∘h)(x)=

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Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

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Q: 7x +3 Given f(x) then f-1(x) will be %3D 8 8х — 7 А. 7x-8 3 8х - 3 D. 8x + 7 3. 7 elect one: OB O A…

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Q: S-1x+31, f(x) = 3 10

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Q: f(x) = Ax , g(x) = Bx^2 Find A and B if (f o g) (1) = 11

A: This is a simple question based on composition of functions which could be solved with the basic…

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: Compute x -1 where x =i +1 2.

A: topic- complex numbers

Q: Sx² – 4 if x # -3 -2 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: fx=x2-4if x≠-3-2if x=-3 We have to evaluate f4 , f0 , f-3 and f-23

Q: 6z−9−z^2<0

A: In the question it is asked to find the value of z for which quadratic equation given -z2+6z-9&lt;0…

Q: Express ƒ(z) = 4x² + i4y² by a formula involving the variables z and ž.

A: Let,

Q: lim [x² + 3x – 5]

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Q: Find the differentiate

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Q: f(x) = 3 IS %3D 3(x)ミVX |(90gl0) = ?

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Q: CLX 5) Let f(x)=√√x³- 4x + 1, f(3) = 4, find (f¹)'(4).

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Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

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Q: Find f(g(-5)), if f(x) = „4 and g(x) = (x+ 4)² O -7/9 O -7/3 O 2/9 O 1051/81

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Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

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Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

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Q: る(4xナx)(10x2+x2-2

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Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

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Q: *ーx? xp x* + 2x +1

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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))…

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Q: . Let h (x) = f (x) + g (x). Find a. h' (1), b. h' (3) , and c. h' (4).

A: Given Data: Function: h(x)=f(x)+g(x) The derivative of function h(x) with respect to x is,…

Q: 10) Find (¹) (3) if f(x)=x²+x-1.

A: