Find the derivative of f(x)= (In x O a. 6x(In x) O b. 24(In xỷ c. 24 In x O d. 12(In x)

Q: Show that is C is a function of x with derivative C'=C/x and N=C/x, the d/dx (C/x)=(C'-B)/x

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

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Q: (g) Suppose the first derivative of f(x) is f'(z) = z - 62 + 11z – 6. Where is f(z) increasing? Use…

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Q: Find the derivative of sin In x O sin(Inx)/x cos(Inx)/x O cos(1/x) O sin (1/x)

A: topic - derivative of a function

Q: HiHtar is THe secoyd derivative OF Y

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Q: Suppose h is a function that is differentiable for all real numbers x, h(2) = 7, and h'(2) =-2. What…

A: Final Answer: The value of dxd​[xh(x)​] at x=2 is 4−11​ Option B is the correct answer. B) 4−11​…

Q: If f(x) = (x® – x4)%, then the 31st derivative of f(x) is 0. True O False

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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: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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Q: Solve the following linear DE's. 7. y" – 10y' +34y = 3x² + x - 1

A: Given equation in symbolic form is (D2-10D+34)y=3x2+x-1 Auxiliary equation is D2-10D+34=0 The roots…

Q: If g(x) = In(12x7 – x), then the derivative of g'(x) is O 12x7 – x | O 84x6 1 84x6 1 12x7 O 726 12x7…

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Q: Which of the following f1(x) is the derivative of f(x) =7x2 + 5ex −1/2? a. f1(x) = 14x + ex b.…

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Q: The graph of f '(x) (i.e., the derivative of f (x)) is given below. |y 2.5 f'(x) 1.5 0.5 =0.5 t-t…

A: Given: Graph of f'(x) is, To find: Value of the integral, ∫-14 f'(x) dx

Q: Find the derivative of y y 3 logs (log: 1) = 1/(t(Int)(In2)) -1/(t(Int)(In2)) ◇ 1/(t(Int)) ○…

A: Step 1:We know that, loga​b=lnalnb​, where ln is the logarithm with the base e]  Step 2:Using this,…

Q: What is the third derivative of f (x) = a + cosæ?

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Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

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Q: Differentiate. f(x) = In (In (In (7x))] f'(x) =D

A: Find f'(X)

Q: Find the derivative of each of the following functions. a) f(r) - VE+-+ V2 +e" b) f(r) – (e*+2)ln(5…

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Q: Consider the following functions. f(u) = 4u² h(u) = u + u p(u) = (u² + u)³ 4u2 g(u) = Find the…

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Q: Let f be a function of x defined by ex f(x) + 15x-9x² =0. The derivative of f at x is f'(x) =

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Q: consider the product of 3 functions w= f x g x h. Find an expression for the derivative of the…

A: Given functions are f, g , hTheir derivatives are given by f ' , g ' , h '

Q: Use properties of logarithms to find the derivative of f(r) = In ((2. 2)

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Q: Find the derivative of y with respect to x. y=x* In (x) - O A. x* In (x) - x² + 5x* O B. 6x -x OC.…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of » sin ( z ) h(2) = | .…

A: simply put at the place of sinx and multiply it by differentiation of sinx