Question 16. Obtain the derivative of the function f(x) (8z +9)-8 in the form A(Bx + C)P, where A, B, C, D are integers and B and C have no common factors. A B = C: D =

Q: QUESTION 4 Find the derivative of the following function by first leveraging the properties of the…

A: The given function is: f(x)=lnxx2-9635x

Q: QUESTION 3 3 1 2 Let A = 1 4 5 2 5 and X2 X= 6. X3 Find (X'AX). Write out its derivatives with…

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Q: If f(1) = 3, f'(1) = 4, g(2) = 2, and g'(2) = 8, find F'(1). F'(1) = ... NOTE: This problem is a bit…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: QUESTION 7 Find the second derivative. y%3D y = 4x 4 - 8x 2 8 8x 2 - 8 O 48x2 - 16 O 16x2 - 16 O…

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Q: 1. Find the slope of the line tangent to the function f(x) = 7 ln(x) – 6x at the point (1, -6). %3D…

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Q: Question 8. By first writing 1 f(x) = in the form x² + 2)° (x2 + 2)°, where a < 0, obtain the…

A: f(x)=1x2+29 Lets first write it in the form (x2+2)a where a&lt;0 .

Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

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Q: QUESTION 7 7.1 Use the method of “first principle" to define the derivative of f (1) = 3r² – 4x +1.

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the remaining…

Q: QUESTION 1 f(x)=2x³ – 1 - 4cos(x)+3x +5 Find the derivative of f(x) using basic differentiation…

A: Our objective is to find the basic derivative using basic differentiation rule.

Q: Question 15 Find the derivative of y = 32x+5 A. 2 ln 3 (3²x+5) B. In 3 (3²x+5) C. 2ln 3 D. 32x+5 O B…

A: Given function is y=32x+5. To find: Derivative of the given function y=32x+5. Formula used: 1)…

Q: Question 5 Determine the derivative of the given function: y = 5-2 Oy = 5"-2 (In 5)(x - 2) Oy = 5-2…

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Q: Question 21 Find the fourth derivative of x + 2x - Inx. A -8/x* B) 6/x C -6/x* D 8/x

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Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

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Q: Question 7 [6;4] (a) Find the derivative of the function y = 2x² + 12 when x = 2.

A: Answer

Q: Work out the derivative of each of the functions below> a. f(x) = 3 ( x - 5)4 + 121. %3D

A: Hi there, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

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Q: Question 11 * 4+e¬x is: x²+2x The derivative of the function y = -e-* a) у' 2x+2…

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Q: Question 31 Compute the derivative function f' (x) algebraically. f (x) = -5x³ + 7 O f' (x) = –15x²…

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Q: Question 11 What is the derivative of y =V x3 -2x² +x -2,

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Q: Problem 5  Find the derivative of the following function using the Fundamental Theorem of Calculus.…

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Q: Question 14 Use part I of the Fundamental Theorem of Calculus to find each derivative, given the…

A: Given query is to find the derivative of the expression.

Q: Question 8 Suppose f(x) =In(2r³- 5x). what is the derivative of f with respect to x? %3D 6x2-5 A…

A: Let's find.

Q: Question (3) Estimate the first and second derivatives of f(x) =-0.1x 4 - 0.15x 3 - 0.5x 2-0.25x+…

A: Solution:Estimate the firts and second derivative of fx=-0.1x4-0.15x3-0.5x2-0.25x+1.2at x=0.5  and…

Q: [24] 1. Find the derivative of the following function. Make any obvious simplifications. (a) r²y²…

A: Hi, I am solving question 1 for other question repost it.

Q: Problem 1 Find the derivative of the function 3 y = In| 2x| x +1 And calculate the value of the…

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Q: Find the Derivative of each function y

A: Given that  the function  f(t) = ln(t2+1)+tln(t2+1)+1 To find the derivative of f'(t)…

Q: Question 8 Use implicit differentiation to find the specified derivative at the given point. Find at…

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Q: Question 3 Calculate the derivatives of the following functions using the appropriate rules of…

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Q: 1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5,…

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Q: 3.) у %3D е2х-3

A: Derivative of a function: The derivative of a function y=f(x) .of a variable x is a measure of the…

Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: Question 7 ( Use the definition of derivatives to find the derivative of function f(x) = √2x + 1 at…

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Q: Question 2: Use this property of polynomials to calculate the derivative of 3 + x³, by first…

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Q: The derivative of the function y = In (* + 1) (* - 1) is O y = O y = :- - 1 e+1 + -2 +1 ||

A: Question is solved.

Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

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Q: Question 3 Find the derivative of each of the following functions. f (x) = x + 9 а. b. f (x) = In(x²…

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Q: Question 19 What is the derivative of 1 1 y = 2x + 3x 2 + 2 ? - - 2 Y = 2x 3 4x 5 5x 2 3 2 y = 12x 5…

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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: Question 36 Evaluate the first derivative of the implicit function 4x- +2xy +y OA (4x-y)/ (x + y)…

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Q: Question 3 4 Find the derivative of y = Vx %3D - x3 • 12 A y': 3x½ x4 48 В y' = - 9x/3 1 2/3 12 y' =…

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Q: Question 1 Find the derivative of f(x) = 2x +3 Provide your answer below: f'(x) =O

A: Answer and explanation is given below

Q: Question 5 Use the second derivative test to find the relative maxima and minima of the given…

A: The objective is to use second derivative test to find the relative Maxima and minima of the given…

Q: 3 11. fx) I. shown. 12.

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Q: Question 13 4 Find the derivative of y= 3/x x3 A 1 y'=3 4 y'=3 x4 1 B 6. C y' x1 12 3x2 x2 3/2 12 D…

A: Please see the answer of question 13 below. According to the guidelines of Bartleby, only the first…

Q: Question 1 Suppose f (x) = x² + 2x + 1 and P = (-3, 4). a) Find the derivative of f (x) at the point…

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Q: Question 1 a) Using the method of first principle find the derivative of the function 1 f (x) =

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Q: Example: 1. Find the derivative with respect to x for the following. a. y= e3x2-1 b. f(x) = ee c. y…

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Q: Question 1: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the…

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Q: QUESTION 3 Find the derivative for each of the following functions x? (а): x(х - 1) x² – 2x+1 - (b)…

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Q: QUESTION 17 Solve the problem. Find the derivative of the function f(x y, z) = at the point (4.-4,…

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