Question 6 2 Using mathematical definition of derivative, which of the following statements is true for the function y = 3x - 1? -6 Ax lim Дx (3 х + зДх-1)(3 х-1) dx Ax +0 B Ду - lim 1 Ax Ax-0 (x+ Ax+ 3)(x+ 3) 6 Δx Дх (3х + 3Дx-1](3х-1) dy lim dx Ax-0 Ay Ax lim (3x + 3Дх-1) (3 х-1) Ax + 0

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A: To find the derivative of the given function , we have to use the chain rule(Nested form of…

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A: Follow the procedure given below.

Q: Question No 02: Compute the first-order Derivative for each of the following functions at the…

A: a. 5-point Central difference formula: f'x0=−yi+2+8yi+1−8yi−1+yi− 212h. x -0.5 -0.25 0 0.25 0.50…

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

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Q: Question 16 For k(x) (2x -1)(x-3)(-x2 2), find the derivative of k(x) using the product rule. Select…

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A: Use given function find derivative

Q: Question 1. A critical point of the function g(x, y) = ey + 3x²y-y is (0,0). Use the Second…

A: Given g(x,y)=exy+3x2y-y. The critical point is 0,0.

Q: Question 1. A critical point of the function g(x, y) = ex y + 3x²y-y is (0,0). Use the Second…

A: Explained below

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Q: 2hx + h“ 4. Find lim h→0 h А. 2х В. 2х +h С. 2 + h D. 2h 5. If f(x) = 2x – 1, what is f(x + h) –…

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A: I have provided solution in step2

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A: Since you have posted multiple questions but according to guidelines, we will solve first question…

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Q: МАТ 115 1.Find the derivative a. f(x) =x' In x b. f(x) = (x'+x-1) %3D с. f(x) d. f(x) = 4e*- x 3D20…

A: As per barlteby guideline for more than one sub question asked only first three are to be answered…

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: 33. f(x, у) — у -3/2 tan -1 (x/y)

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A: Given:

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Q: Question 1. Identify the correct description for the formula y'(x) -ky(x - k) + k-?y(x) from the…

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Q: 1.3. h(x) is a differentiable and f(x) = x²h(x) find the derivative of the function f I| using the…

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Q: Q. 2. a) Find nth order derivative of f(x)= ln(2x-7). b) Find 3rd order derivative of y with respect…

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A: The answer is given below

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Q: Question 6 2 Using mathematical definition of derivative, which of the following statements is true…

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Q: Activity 1: Find the derivative of y with respect to x. 1. y = 3x - 5 2. y = 6 3. y = x2 + 4x 4. y =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: If g'' is negative then x is point of maxima if g'' is positive then x is point of minima

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A: solve the following

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Q: FIND THE DERIVATIVE OF THE FUNCTION DESCRIBED. (25 1. y (x2- 1) (2x+1) 2. y 2x2 (4x² + 3x- 5) 3 y +1…

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Q: Question1. Find the derivative w.r. tx. i. f(x) = Cos (3V) (using chain rule) %3D

A: To Determine: find the derivative Given: we have fx=cos23x  Explanation: we have a function…

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Q: 11. (a) Find F'(x) using the limit definition of the derivative if F(x) = F'(x) will result in zero…

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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: derivatives in Column B. 1. f(x) = 4 A. f'(x) = 8x 2. f(x) = 4x В. f'(x) = -4x-2 3. f(x) = 4x² С.…

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Q: 2 Using mathematical definition of derivative, which of the following statements is true for the…

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Q: 1. Find the derivatives of each function then simplify completely. f (x) = 2a - 5a2-+5 y = x'V? +3…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 1 Let f(x) X - 1 (a) Find the derivative f 'of f. 1 f '(x) = (x – 1) X* (b) Find an equation of the…

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Q: Question 2 Use the table below to evaluate the derivatives below. xf(x) f′(x) g(x) g′(x) h(x) h′(x)…

A: According to the guidelines issued by the company we are supposed to solve only first three subparts…

Q: 4x Q No.2. a) Evaluate the derivative of the function: F(x) = Seova (In t) dt. b) Find the…

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Q: Question 1. A critical point of the function g(x, y) = exy + 3x2y-y is (0,0). Use the Second…

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