Find the derivative of each of the following functions. Do not just write down the answers but do write down some of the intermediate steps. You do not have to simplify your answers. 4 a. f(x) = 10 +T- VX %3D 1 + 11 x 4x2 b. f(x) = 3x2 + %3D C. f(x) = 3e + 7x² + 8. %3D Find the critical values of each of the following functions. a. f(x) = x+ 2/x.

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: 2. Calculate the derivative of the following y= (*- 3 + Sx) B. Ytan (x+ Se-2) (4x + 3) Tx-2) A. C.…

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Q: 2. find the high er order derivative of the given funcion witch whi ch Equal to 2ero f (x) = = x°-…

A: If we have a function f(ax) then the derivative of the function will be,     Here it is given that,

Q: Please find the indicated derivative in following problem. 1 h) y = 3x³+11x+4

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Q: 2. Calculate the derivative of the following. B. Y= tan(x+ 5r-2) C. y=- (E +24) :(2-)

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Q: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

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Q: Find the value of the derivative (if it exists) at each indicated extremum

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Q: What is the approximate value of the first derivative of S(x)=-01x-0.15x-0. 5x-0.25x +1. 2 at x-0.75…

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Q: Please identify the critical point,z, where the first derivative is equal to zero for the following…

A: Critical point

Q: Given the function z=(x2+1)(x−1). Find the value of its derivative at x=−1.

A: The given function is z=x2+1x-1

Q: 20. Find the derivative of the function. y = 9cos(2x) a. y'=-18sin(2x) b. y' =18sin(2x) c.…

A: Option (a) is the correct option. Differentiate y using the chain rule.…

Q: Find the first derivative of the following implicit function. x3 + y3 + 3 xy2 = 8

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Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (ans.: (3x-2) a)…

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Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

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Q: 27. The first derivative of y = is (4x+1) -24 b. 24 C. -6 6. (4x + 1)+ (4x + 1)+ (4x + 1)4 (4x + 1)*…

A: y=-2(4x+1)3

Q: 5 What is the derivative of5a2 + 10x + ? A None of the given choices B 10x + 10 + 3x2 10a4 + 10a³ –…

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Q: Find the critical points of the following function. f(x) = X +49 What is the derivative of f(x) = x…

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Q: find the derivative of y with respect to the givenindependent variable.

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Q: 1. Find the first derivative of the following functions: y = f(x) = -(2x + x³)-2 + 4x (2x+4)² (a)…

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Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)3 5. h(x) x+5 = x2-9, 6. A(x) = v3x3 +…

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Q: 11. Find the derivative of the following function. y=2-6e a y'=54r°e b. y' = -54x°e- c. y' = 6e d.…

A: Given function is

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Q: Find the derivative for x 1 1. (4Tx)"/2 e 4t |t|2 e 4x 2. 3.

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Q: Find the value of the derivative (if it exists) at each indicated extremum.           f(x) = (x +…

A: Given:fx=x+223

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Q: Find the derivative of the following e^2x y = π / 2 y=5e^3x

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Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: 1. Find the derivative of the following functions: (а) у %3D 3x5 — 5х3 — 8х + 8 (b) y = x-5 + x-8 –…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Find the indicated derivative. dt for y(2.4t-3t)(2t+1.1)

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Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)³ 3 5. h(x) x+5 = x2-9, 6. A(x) = v3x³…

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Q: Find the value of the derivative (if it exists) at each indicated extremum.         g(x) = x + 4/x2

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Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: Find the derivative. y= e at O 4(1/4)x -4(5/4)x In 4 4(3/4)x In 4 4(5/4)x 25 n4 16

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Q: The value of the second derivative of y = f(x) at its point of inflection is В. О D. 2 А. 1 С. -1

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Q: Find the derivative of the following functions: (a) f(x) = (2x – 8)(x³ + x² + 7x)| (b) ƒ(x)= x3–2x)…

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Q: 9. The derivative of the graph x+y² D5 with respect to time is c-2y+ 20 C. a. y +x d. -y 2x +2y

A: Q 9 Given that: The graph: x2+y2=25

Q: find the following third derivative of y=(3x+2)2

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Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

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