Question 2. Find the derivative of the given functions: a) y = e5 log, (4x® + e2=) In(x² + 4)ez b) y =

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 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 17 Using the definition of a derivative, find s' (r) given s() =-x2 2x +3. Do not include s…

A: Given:

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

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Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

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

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Q: Question 1 Find the derivative and simplify y cotVt-1 Oy-- Oy= - 2tt-1 1 2t/t-1

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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 9 Find the derivative of (3x+4)3 (-3x 2)4 h(x) = You should leave your answer in factored…

A: Given function isThe given function is a rational expression and the derivative can be obtained…

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 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

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 6 Find the derivative of the function y = 8ln(cos 2x)+ 5tan? (3x) Write the value of y' (0)…

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

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Q: 2. Find the derivative of each function. Simplify your answers completely. In10 a) y= log 2a.

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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: > Question 3 of 16 Determine the derivative of the function h with a domain {x | 0 x < T} cot (x)…

A: To find the derivative of the function h(x)

Q: Question |–2x – 4 3x3. V 3x3 using logarithmic differentiation. 6 Find the derivative of the…

A: Some properties of logarithm are: logxy=logx+logy logxy=logx-logy logxn=nlogx

Q: CL Activity # 4 # 19 III. Find the derivative of the following using implicit differentiation. 19. e…

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

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Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O…

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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: Part 1 Find the equation of the tangent line to the curve a(x) = 3 sin x+In(x2 - 5x +1) – e-6z at a…

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

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Q: Question 19 1. Find the function whose derivative is e¯(e* + 1)?

A: Let's find.

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 1. Using logarithmic differentiation, find the derivative of the given functions: a) x2 – 5…

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Q: Question 4 Determine the derivative of the given function: y = (e + e*)3 Oy = 3(e+e) (e" - e) Oy =…

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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 49 Evaluate the first derivative of the implicit function 4x + 2xy + y². O A. - (4x - y)…

A: given function 4x2+2xy+y2=0Implicit dervative

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: Find the derivative of the logarithmic function. y = In 6 + e 6- e*. Step 1 The given function y =…

A: We will derivate the function step wise as asked in the question.

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 30 · 0/1 POINTS Find the derivative of y = (2-)". That's not right. -2e*In(2-x)x + e* In(2…

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Q: Question 26 Calculate the second derivative of the function y = In(cosx). A -sec'x B) -csc2x csc?x…

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

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Q: Question 3: a. Find the derivative of the function 2x +1(x - dx b. Given that y = 4x' -*, find dy…

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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 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 2: dy a) Find for the following exponential function y = dx - 3e2x+1 -eV b) Using…

A: derivative

Q: (1–2x)3 1+x2 dy Question (4): Find by logarithmic differentiation for f (x) dx

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