Consider the function f(x) = -5x* – 11æ³ +x² + 2x – 17. What is the 3 smallest number n such that f(n) (x) = 0 for all æ? (Here, f(n) is the n-th derivative of f.) O 4

Q: Suppose s (x)= - 2(1– 5x)3 What is the correct result of the derivative of g with respect to x? 45 A…

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Q: Compute the second order derivative f"(x) for f(x) = 3x* -/x. %3D 36x2- 4x2 Ob.36x2 + 3/2 3/2 1 OC.…

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Q: Suppose that the function ƒ(x) and its first derivative have the followingvalues at x = 0 and x =…

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Q: Given the function f(x) = {2ª 2x x 2 which statement is FALSE at x=2? O The derivative from the…

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Q: Find the derivative of the function. g(u) =√u+1(1 − 5u2)7

A: Write g(u) using exponent

Q: Evaluate the second derivative of z f8.png asin (bvx3 f(x) = c2x + In(kx) if a = 16.55, b = 3, c =…

A: Substitute a=16.55, b=3, c=2 and k=3 in the given function. f(x)=16.55 sin(3x13)22x+ln…

Q: Find the derivative of the following function g2 F(x) = ds a 3+ 5s4 using the appropriate form of…

A: Given that,

Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

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Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

Q: Evaluate the second derivative of z f8.png asin (bvx3) c2x + In(kx) if a = 18.22, b = 2, c = 4, and…

A: For the given values of a, b and c, we have, f(x)=18.22sin2x342x+ln5x We need to find the second…

Q: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…

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Q: Suppose that the first derivative of f(x) = is approximated by the following formula %3D 3x+4 -2f(x…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y=x" In x - O A. 4x-x O B. x*…

A: The function is given as y=x4 ln(x)-13x3 Differentiate the above function w.r.t 'x' y'x=ddxx4…

Q: Which of the following shows how to find the derivative of f(x)? f(x) = 3x*(5x? - 6) %3D…

A: The 2nd option is the correct option. Consider the formula for the product rule for differentiation.…

Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: Find the anti-derivative of g(x) = 2*, which contains the point (0, 2.44). ⒸG(x) = -2 O G(x) = 2 O…

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Q: 5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the…

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Q: Suppose that the first derivative of f(x) =- is approximated by the following formula 3x+4 -2f(x –…

A: The given problem is to find the actual error of the first derivative of the function using the…

Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (2) — 5а — 4 %3D | 2. f…

A: Recall: Derivative using Four step Rule:step 1 : Write f(x+h) and f(x).step 2 : Compute f(x+h)-f(x)…

Q: Suppose that the function ƒ(x) and its first derivative have the followingvalues at x = 0 and x =…

A: Given that: The function f(x) and its first derivative have the following values at x = 0 and x = 1.…

Q: 2. g'(x) where g(x)=x² +7x-5 %3D

A: In this question we need to find a derivative of the given function.

Q: Suppose that functions ƒ(x) and g(x) and their first derivativeshave the following values at x = 0…

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Q: Which of the following shows how to find the derivative of f(x)? 3e* f(x) |3D ex-7 (ae(*-7) -…

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Q: Find the anti-derivative of the following: a.) f(x)=4x1/2-(4/x1/2) b.)…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: For each x= a in the domain of f(x), f'(a) is the slope of the line tangent to the graph of f(x) at…

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Q: Find the third derivative of f(1)= 2x(x -1)" Oa 18 b.14cos 13 OC16sim Od12

A: we all know that dxndx= nxn-1. and first derivative dfxdx=f'x and second derivative df'xdx=f''x and…

Q: if f(x) = x²√√In x² P x A. f'(x) = . find the derivative of this function f'(x) 1-In x² x²√√In x²…

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Q: Consider the function f(x) = (4-5x)7. Find the second derivative f" (1). O7(4 – 5z)® O-35 (4-5x)6…

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Q: Find the derivative of the function. g(x) = In| 8x – 9 | a. 8x -9 Ob. Sx -9 O. none of these 1 Od. -…

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Q: 3 Suppose 8 (x): 2(1- 5x)3 .What is the correct result of the derivative of g with respect to x? 45…

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Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values…

A: Since you have posted multiple questions i can do first question with first three subparts as per…

Q: Consider the following. g(x) = 2e-x + In x; h(x) = 5x2.1 Find the derivative for f(x) = g(x) · h(x).…

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Q: Which of the following is the derivative of the function f (x) = 5x · e*? Of (x) = 5e* Of'(x) = 5e*…

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Q: Find the derivative of g(t) = 4t2 + 8t at t = 3 algebraically. g'(3) =

A: Topic:- derivatives

Q: Suppose h(x) =23r +1 What is the correct result of the derivative of h with respect A h'(x) =3-23x +…

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Q: d) Hence form a conjecture for the derivative of functions in the form y = (ax + b)². e) Prove your…

A: As you have mentioned I am answering Question (d) and Question (e)

Q: Suppose h(x) =log,(3x+1). What is the correct result Зх + %3D of the derivative of h with respect to…

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Q: 7. Consider the function f(r) = In r - 4VT. 1- 27 (a) Show that the derivative is f'(x) :

A: lnx-4x

Q: Compute the derivative function f' (x) algebraically. f (x) = -x? – 2x O f' (x) = -2 – 2 %3D O f'…

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Q: Suppose 8 (x) = V x²+1, What is the correct result of the second derivative of g with respect to x?…

A: The function is given by gx = x2+1 To evaluate: The expression of g''x.

Q: Determine the anti-derivative of the following functions: a) S(x)=(3x+2)(2x* - 3x +4)

A: Given, f(x) = (3x +2)(2x2 -3x +4) So  f(x) =  6x3 -9x2 + 12x + 4x2 -6x +8     f(x) =  6x3 -5x2 + 6x…

Q: Evaluate the second derivative of h z f8.png asin (bvx3) f(x) c2x + In(kx) if a = 16.55, b = 3, c =…

A: The Backward Difference Approximation(BDA) uses the formula below to approximate the double…

Q: Use the u-substitution to find the anti-derivative of h'(x)= xcos(2-3x2)

A: h'(x)=xcos(2-3x2) Formula ∫cos (x) dx= sin (x)+C

Q: Show that the function f(z) does not admit an anti-derivative in the domain N = C\{0}. Does it admit…

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Q: Find the first and second derivatives of the function. 14. f(x)= x to the 7/2+x to the 5/3-x to the…

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Q: 1. Find the derivative of the following by using the Theorem. a. y = In(3x3 – 6x +9) b. y = In[(2x –…

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Q: h(x) = (5x-1 d) m(x) = (4x² – 9x} %3D

A: Product rule of differentiation: u·v' = u·v' + v·u'   ddxxn = n·xn-1 ddxf(x)n = n·f(x)n-1·f'(x)

Q: Find the derivative of the function x³(2x + 1) f(x) = In x2 – 3 Select the correct answer below: O…

A: We can make it easier for you.

Q: Use differentials and the graph of f to approximate    (a) f (1.9) and (b) f (2.04).

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