Question 13. Obtain the derivative of the function f(x) = 2 ln(4x) Enter the answer as a function of z:

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

A: Given:

Q: 1 5 Find the derivative of y =x° + 3 Give your answer with positive exponents.

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

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

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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: |(25+1)earcsin(=) 4. Use logarithmic differentiation to find the derivative of y = (Your answer…

A:

Q: Question 9 Suppose 8 (x) = sec-(x²), what is the derivative of g with respect to x? 2x A 8 (x) =…

A: We need to find derivative.

Q: Question 5 Find the derivative [f(x)]; f (x) = 3 ln (In (x²-3x + 5)²). O3(2x-3) ²-3x+5 3(2x-3)…

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

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Q: Question 9 Suppose 8 (x) = sec-(x2). what is the derivative of g with respect to x? 2 A 8 (x) = x4-1…

A: We have to choose the correct answer from the given options according to the given information

Q: QUESTION 11 Find the derivative of the function at the given point in the direction of A. f(x, y) =…

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

A: We know that u·v' = u·v' + v·u' uv' = v·u'-u·v'v2

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: Note, derivative of a logarithmic function f(x) has three parts and is given here: f ' (x) = 1/ln…

A: We know that loga u(x) can be written as : logau(x) = (ln u(x)) / (ln a) = p(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: Question 4 Given f(x) = x² – x 1) Derive the derivative function f'(x) using the limit definition of…

A: Solution is given below

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

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Q: e* tan-(x)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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

A: Let's find.

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

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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: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

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

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Q: QUESTION 3 3 Given that f(x) x+1 a) Find f'(x) using the definition of derivative. b) Find the…

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Q: Question 3 Determine the derivative of ln(csc x) - cot x CSC I O csc x cot 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 1. Using logarithmic differentiation, find the derivative of the given functions: a) x2 – 5…

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Q: Question three [10] i. Find the value of the derivative of f(z)=z+2z -i at z=3+2i

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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: f(x) = sin (x³)

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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 15 Find the derivative of f (x) = (5x + 1)(2x² + x /æ ). Upload your work in the next…

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Q: Problem 4. Find the second derivative of below functions. (1) f(x) = 4, (2) g(x) = ln(3x² + 2x - 5).

A: 1)f(x)=41/x 2)g(x)=ln(3x2+2x-5).

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

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Q: Example 2. Find the derivative of the following with respect to x. x" +1. (iv) x-5 (i) x12 + 7, (ii)…

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

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Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

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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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