f(x) = (x + 3)(x – 1)².

Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: -f xy + a3 (1

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Q: 3. Find f'(x) for f(x) = v5 + e2x xe2x-1 А. V5+e2x 1 2v2e2x С. 5+ e2x e2x D. V5+e2x V5+e2x B.

A: In this question, concept of chain differentiation is used in this question.

Q: 11. Differentiate the function (use chain rule): y = x²(x-1)³(2x-5)² ;

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Q: f(x) = v3x _g(x) = 7\x + 6 h(x) = 9\x – 3 J(x) = 8x k(x) = -8/3x m(x) = x + 4 n(x) = 2\3x r(x) = v3x…

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Q: i) f(x) = 2 In(-x) j) 2(x2 – 4) f(x) = %3D x2 -x-6

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Q: What is derivation of f(x) = (2x² – x + 1)³ at %3D Xo = 1 ?

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Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

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Q: Find the linearization L(x) of the function f(x) = x^3/4 at x=256.  L(x)=?

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Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

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Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

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Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

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Q: 9. f(x) = x3-8 %3D at x = 2 x-2 10. f(x)= (x+2)(x+3)-12 ,at x = 1 x-1

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Q: 2. f(x) = x| (0, 1)

A: Given: fx=x, 0,1

Q: Q1. Find ý of the function x2 – e2x+3y – In(xy³) = 0. -

A: here is the solution

Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: The antiderivative of the function f(x) = + 8x is x2 6. + 4.0x2 + c - 4.0x2 + c - -8 + 3.0x2 + c -9-…

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Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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Q: What is the domain of f (x) = ln(x – 3) + 4?

A: Domain where fx is well defined.

Q: the integration of : f(x) = - 2x+4/(x^2+1)(x^2-4).

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Q: 38. f(x) = x² at x = -1 %3D

A: Solution Question 38 Given, The curve  fx=x2 We have to find the equation of the tangent at point x…

Q: J. (g o h)(x) 8. (h og)(x)

A: As per the bartleby guidelines for more than three question only three has to be solved .Please…

Q: 26) g(x) = x² – 5x; g(x) = 104. Find x. %3D -

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Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

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Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: x- 2 if xS-2 2 1. Sketch: f(x) = - 2 2

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Q: 7. Let f(x)=64x² ln (2x) −16x¹. Findƒ(e)-f(€) 2

A: NOTE: Refresh your page if you can't see any equations. . take x=e

Q: Find the linearization L(x) of the function at a. f(x) = x4 + 6x2, a = −1

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Q: F(x)=e^2x (3x^2-x)

A: see 2nd step

Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: f(x) = e^(-x2+x) yp = e^(-x2)

A: Y = CF +PI

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: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²)…

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Q: Express the follo lowest form +4 a 2 1-3x S+x

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Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

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Q: Comput: f dx 2+x

A: I am attaching image so that you understand each and every step.

Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

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Q: Find the linearization L(x) of f (x)=- Vx -5 at a =3. – 5 2.

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Q: f(x) : == - x2, with domain [2, +o) %3D

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Q: -. g(x) = Vx + 7 i. Domain: (-7,00) Preview x + 30 . h(x) : 4 - i. Domain: (-30,4)U(4,00) Preview

A: Given query is to find the domain for the function.

Q: Find f for the function z = - 3x6 0 02-30x4 ex ax = ex 7x8 1 8 6x 02-02-63 x = 6xy + 4y2.

A: This question can be solved using the concept of partial derivatives.

Q: Find the linearization at x = a. 1 f(x) = = 5 +3

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Q: The derivative of f(x) 4 (22 +17x) is O -4c (2a + 17) O -4r 2(2x + 17) O 4x + 68 O 4x 2(2x + 17) O 4

A: Here, it is given that f(x)=4x(x2+17x) We need to find the derivative of the function f(x).

Q: V4 - x 8. g(x) = at x = 0 %3D

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Q: 19.yf(x) = 2|x – 1|; f(-2). f(0), f(¿). f(2), f(x + 1), f(x² + 2)

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Q: a) f(x) =(5x + 3)(7x² - 2) using the product rule b) f(x) = (3x? - 5) using the chain rule c) f(x) =…

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