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Q: Differentiate the function. g'(t) = g(t) = In t(t² + 1)8 3 4t 1 -

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Q: Rope-a-Dope A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

A: Note : There are many subparts in the questions. So I will answer the only first three subparts in…

Q: Practice B Find the derivative of the following functions. 1. y = (6x? + 7x)4 2. g(t) = (4t² – 3t +…

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Q: Find the third derivative. 1 (x + y)Z + (x – y)Z = a

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Q: Question 20 Find the derivative: x²(x² + y²) = y² y = - fo Ov fi P r(2x+y) (1-²) v(22:²-²) x(1+z²)…

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Q: Final Examination The derivative of the function y = r + 9x at the point a = 4 is O 45 of 48 tion O…

A: We find derivative of y with respect to x I.e dy/dx = (d/dx)*f(x)

Q: Let g(x) = f() dt, v %3D

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Q: Exercise 10. Find the derivative d 7x (* + 2) dt dx

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Q: 1. If y = √√√x. Find y" X₁

A: To find the higher derivative of y(x).

Q: Numerical differentiation. Given the data set: X G(x) -1.00 -0.841 -0.75 -0.682 -0.50 -0.479 -0.25…

A: Note: The question contain 4 sub parts, according to the guidelines we are allowed to do three…

Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: Calculate the derivative of the function. r(s) = (35+ sº.1)-1 r(s) =

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Q: Q4: A. . Find the derivative of the function at Po in direction of A. g(x, y) = x - + V3sec-1 (2xy),…

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Q: Use Linear Approximation to estimate Af f (2.05)-f(2) for f(x) = %3D x+I (Use decimal notation. Give…

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Q: (b) A poll commissioned by a politician estimates that t days after he makes a statement denegrating…

A: Percentage of the constituency of the politician after t days after the statement made is:…

Q: Let f(x) = V1+x. Estimate the change in f from x = 7 to x = 7.5 using linear approximation. %3D

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Q: 3 (a) Find the derivative of the function y = (t3 + 1)10 dt

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Q: III. Find the indicated derivative of each function a) 4+4r- b) w=- 4z +1 3u¹ + 2 u(+2) 1 x²-x+1 c)…

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Q: Find the second derivative of f (x) if ƒ (x) = (2x + 3)* %3D A) 4(2x + 3)³ (B) 8(2x + 3)3 (C) 12(2x…

A: Proceed as shown...

Q: BASIC CALCULUS ACTIVITY 2: USE THE CHAIN RULE Direction: Answer the following questions using the…

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Q: The unemployment rate U(t) varies with time. The table(from the Bureau of Labor Statistics) gives…

A: Given: the unemployment rate vs time table is as follows:

Q: The derivative of the function y = 2* sec(x²) is:

A: I use product rule and chain rule to solve this derivative