Question 24 Calculate the third derivative of the function y= xe. A 4e2(x+ 3) B 2e(2x + 3) ©2e2(x + 3) D 4e2(2x + 3)

Q: Question 12 Find the derivative. y = 126x A (72 In 12)126x B (12 In 6)126x (C) (72 In 6)126x D (6 In…

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Q: IN QUESTIONS 1-5, FIND THE DERIVATIVE. 3 1. y = Vx + cotx

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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: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

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Q: Question 1 Find the derivative of the given function. Do not simplify your solution. y 3= (922 - 6x…

A: We have to find derivative

Q: Use..U. substitution. to. find each antiderivative. -48x 5-3x4 dx -3-

A: *to find:- integral value of the given function using substitution method.

Q: Question 8 cosh(12x) is The derivative of y=cosh2(6x) + y'=6 sinh (12r) +6 sinh (6x) cosh (6x) y'=6…

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Q: Question 5 Use the rules of differentiation to find the derivative of the function y = x(6x + 1)5.…

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Q: Question 4 Find the derivatives of the following: i) iii) f(x)=5 (4x+7)(x-3) (x-2) f(x)=(3x + 1)4(2x…

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Q: 2r 32. у t + e3t

A: topic-derivative

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 13: Find the derivative of: y = 7e8x ln(3-9x6)

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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: Question 30 Determine the second derivative of 2x³ + y²= 1 – 4 y A 6x ( y + 2)-! - 9xª ( y + 2 ) -3…

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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: Question (4): Find the first derivative of the following function: y = sin (x – x2)

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Q: Problem B.2. Take another derivative of equation B.8 to evaluate xe-ax? dx.

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

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Q: 4x – 9y = 1 find the first derivative

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Q: Question 373 3x4 + 2 e-2z (7x + 2) Find the derivative of the function y using logarithmic…

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Q: e2x-e-2x 4. y= e2x+e-2x

A: Hyperbolic functions are similar to trigonometric if we consider the derivatives even though…

Q: 28. f(x) = arctan /x

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Q: Question 4 Find the derivatives of the following: f(x)= (4x+7)(x-3) (x-2)

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Q: Problem 8 Find the derivative of the function (7x2 + 2) x(3+ x) g(x) Show all steps of your…

A: The given function is

Q: Question 19 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: Question 2 Find the derivative of f(x) = x³ cos(x)

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

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Q: Question 7 Apply the first principle of differentiation to find the derivative of ( a) f(x) = Vi-2x…

A: We use here first principle of Derivatives to obtain Differentiation.

Q: QUESTION 7 Using any of the rules we learned, find the first derivative of the function f(x) =…

A: Consider the equation

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: Question (4): Find the first derivative of the following function: y = sin (x - x*)

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Q: Question 13 Find the second derivative of f(x) = x 3Inx O x(5+Inx) O 5x + Inx2 O x(5+Inx2) O 2x…

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

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Q: 3. y= In (*+1), (x+2)3 (x+1),

A: 3. The equation is  y=lnx2x+1x+23

Q: Question 17 Find the function whose derivative is x(xcosx+2sinx)

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Q: Problem 9 Find the derivative of the function y = x? cos (3x2 – 1) Show all steps of your…

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Q: Question 10 Calculate the second derivative of the function y= In(cosx). -csc2x -sec?x c) cscx D)…

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Q: Question 15 Use logarithmic differentiation to find the derivative ofy. 3 (3x + y = 1)6x+2)2 (x4…

A: Consider the following equation: y=3x+1x+22x4+5x+73 Take logarithm on both sides of the above…

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 7. Find the first, second, and third derivatives of the function. f(x) :

A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

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

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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: Question 1. Use the Second Derivative Test to find Maxima and Minima for the given function. y = x +…

A: 1. y=x3+6x2-15x+2 The first derivative of the given equation with respect to x is,…

Q: Question 21 Evaluate the first derivative of the implicit function: 4x2 + 2xy + y² = 0 4x +y (A x +y…

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Q: Question 5 * 3 The derivative of the function y = -2x* – 8 + is: a) y' = -8x3 – b) y' = -8x3 – 8- c)…

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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 17 * - 2 17. Find the derivative of y = ln 2x +5 hint : In A = In A – In B В 3x 2 x' -2…

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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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