2x-3 5. Let f(x) = find as Ax - 0 Ax 3x+4'

Q: 2x – 3 if x >0 | 3x – 1 if x 3], [ƒ 9]. - Q. Given f(x) = %3D

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Q: Graph the following functions.

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Q: (₁ Find the absolute extrema of the function on the closed interval. ƒ(x) = x³ − 12x + 1, [-3,1]

A: An absolute extrema of a function in a given interval is the point at which a maximum or minimum…

Q: 5) f(x) = x = 4 at V4 -x

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION, SO, I HAVE ANSWERED FIRST ONE FOR YOU…

Q: 3 – x2, 0<x < 1 | f(2) dr, where f(x) = 1<r< 2.

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Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: Q-2) Prove that converting the Higher-Order derivatives to the finite difference formula would be:…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: 1. Find the absolute extrema. 1) f(x) = 5 – x² on [-5,4]

A: fx=5-x2,  -5, 4 Differentiating with respect to x, we get f/x=0-2x=-2x Now to find critical numbers,…

Q: x2 - 8 If f(x) = X-4 where is f not differentiable?

A: Find where is f not differentiable

Q: Find the critical numbers of the function: f(x) = x3 - 3x2 +1 %3D | Select one: а. X-0, х32 b. x=…

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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: 3x-1 ind the critical points of the function f (x) = x+6

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Q: 5. Show that the function f(x)= 3x-9 is not differentiable at x=3. Find the formula for f'(x).

A: To Prove: Show that, given function is not differentiable at x = 3.…

Q: -4 Find the line 1. f(x) = x³ - 2. f(x) = cos 2 3. f(x)

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Q: f(x) = (219+d) x¹ + (9+d) x ³ + (4+d) x²-allxd² in [0, 1] up to 10-4 secent method using f(x) = 228…

A: As per the question we are given teh following function : f(x) = 228x4 + 18x3 + 13x2 - 211x - 9 And…

Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

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Q: 7 Determine a value for r so that h(x) x + rx² – 7x has an inflection point at x = 5. 2 -- |

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Q: 6. f(x) S(x) =-- x-3

A: Given query is to find domain , vertical asymptot and the intercepts of the function.

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

A: Given: fx=x, 0,1

Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

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Q: 4. Evaluate only one of x'dx a) f (x² +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: x-2 For the function 10x) = ind f(X), the third denvative of t and i ), the fourth derivative ofT…

A: Please refer the attached image for complete solution.

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: for f'(x) see 2nd and 3rd step. for g'(x) see 4th and 5th step.

Q: 3/3x 2/3x 1 Find all possible critical numbers of the function f(x) = - 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: f"(x) = 20x3 + 12x2 + 4 with the initial conditions f(0) particular f(x). = 8 and f(1) = 5. Det

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Q: x for -n Sx 2n

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Q: (2x² - 2x 4 B) For what values of k and h is y={ k + 2x 2 + hx2 - 2 < x<-1 - 1<x< 2 2 <x<4…

A: B) Given, y=2x2-2x-4, -2≤x&lt;-1k+2x, -1≤x≤22+hx2, 2&lt;x≤4 and also continuous at x=-1, 2.  We have…

Q: 1 Let f(x) = 5x° - 9x - 3, x2 1.5. Find the value of - df at the point x= 1271 = f(7). dx

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Q: Graph the following functions.

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Q: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

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Q: nd all critical numbers for the function x1/3 f(x) = + 8. x² + 3

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Q: 2 2x +1 Let f(x) =- |- log, (x² + + 1) • (b* - 5b +3)x +c. If f(x)isa tan decreasing function of x…

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Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 15 over the interval [1,3].

A: To find the extreme values of the given function f(x) = x2 - 3x + 15 over [1, 3]

Q: 2 The function f(x)= (x² – 1) ³ , is decreasing on the interval (- 00,-2)U (0,2) AO (-1,0) U (1, ∞ )…

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Q: 4x f(x) = 1+ x2 1. Find the critical numbers of f.

A: To find out critical numbers , we need to take derivative  Take derivative of f(x)  and then we set…

Q: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2 at x = 0.5 using: first backward difference with…

A: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2at x = 0.5 using: first backward difference with…

Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 10 over the interval [1, 3].

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Q: Find the absolute extreme values of the function on the interval. 14) f(x) = ex - x, -1 sxs 2 %3D

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Q: The function f(x) = (8x – 1)e® has one critical number. Find it. 4x - x =

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Q: f(1-3/x)dx3= X +2x/x + C X-2x ex2+1 of X-2x/2 x(1-2/x) +C x(1 לx-

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Q: Q1. 2x+2 x+1 f(x) =2x-3 r-3 (a) Express f (x) as a single fraction in its simplest form. (b) Hence…

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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: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: 8. Find f'(0) if f(x) = In(x + 4 + e-3*). A. - 2

A: Given: f(x)=lnx+4+e-3x

Q: 4. Using the expression (x + Ax)² = x" + nx-Ax +n(n – 1)x"-²Ax² + + Ax" ... prove that if f = ax"…

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