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

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

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Q: 1 FIND THE DERIVATIVE OF EACH FUNCT'ON. 1.) y= sin () a.) y= Tan( 3x) 3.) y= Cos( 3

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

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: Find the derivative of the function.

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Q: Find the derivative of the following. Ax) = (x)sin x h(x) 1+ csc x 1- csc x

A: Given : f(x)=(x)sinx h(x)=(1+cscx)/(1-cscx)

Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

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Q: 3x-x Tan 1-3x? х-х

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Q: +0.0001) – 1, tan(4 4. Which derivative is approximated by 0.0001

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Q: 14. f(x) =(In x)* 3. 15. Н(х) 3D

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Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

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Q: 3x-4 1. Y= Arctan 4

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

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Q: Question:4 Calculate by implicit derivatives (tan x)" + ycotx + sinxy – exy – In2 = 0 - dx

A: The given function is tanxy+ycotx+sinxy-exy-ln2=0 Now, we find the derivative of each term…

Q: Find the derivative of cos-¹(sin x)

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Q: Example 2: Find the equation of the tangent line to f (x) = when x = 1. V3x2+1

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Q: 1. Y = In x In x 2. Y =

A: To find the derivative of the given questions 1) y=2√x/(lnx) 2) y=lnx/x²

Q: Find the 75th derivative of y=cos(2x)

A: Given function y=cos2x The 75th derivative has to be founded  first consider the smaller…

Q: Find the derivative of Screen Shot 2021-10-05 at 7.41.38 AM.png In sin-1 -1(X` 2, y = e

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Q: Find the derivative of each function. 1. f(x) = (2x -5x) 3. y= 3sin(x- 3) S. g(x) = sin (3x')

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Q: What is the derivative of tan-1(e2x-1), 2e 2r -1 2e 2x -1 2e 2r -1 (D) 1+ er-2

A: Solution : We have to find out the derivative of the give function tan-1e2x-1

Q: 42. f(x) = In(xeV + 2)

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Q: ds 1+csct 3. Find the derivative of the function s= dt 1-csc

A: according to guideline we should able to do only one question at a time

Q: Find the derivative of each function h(x) = 2x³ In x h(x) = 6e*(1 –- 5x) g(x) = 3 sin x cos x + 2x…

A: Given, The functions  hx = 2x3 lnx  hx = 6ex1-5x  gx = 3sinx cosx +2x  We have to find the…

Q: Question 5 Find the derivative: y = (3x 2x) Va5 2x + 2 - - dy 27-14x5-30x2+36x-8 2Va5-2x+2 (3x-2)…

A: The given function is  y=(3x2-2x) sqrt(x5-2x+2).

Q: 83. Find the 50th derivative of y = cos 2x.

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

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Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

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Q: Problem 5. Evaluate the derivative tan dt. dr

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

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Q: Find the derivative of h(x) = In 25

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Q: Determine the first derivative of the ff. function y = 400(2)*+3 sin 3x

A: Given: y=4002x+3 sin 3x To Find: First derivative of the given function

Q: ) Find the derivative of the following: a) sin (4x- 7x+ 3)

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 1 5. X: t-1

A: Given x=1t-1, y=tt2-1

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: 5. Find derivative y' 4=x²(nx %3D

A: Given:  y=x2lnx Product rule: When y=u(x)v(x) dydx=dudxv+udvdx

Q: al derivative using your own words.

A: We have to define the directional derivative

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

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Q: Find derivative of the functions xx-1 2

A: The detailed solution is as follows below:

Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: Find the first derivative formula for the function g, by using the definition found in section 2.2.…

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Q: Find the derivative of y with respect to s. (56° +3) У3 sec

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Q: Find the first derivative of 1 2 y -sin?

A: Explained below

Q: Find the derivative of each function 2 sin x 5x3 1. h(x) = In x -3e* h(x) = 2 cos x g(x) : 1+7x

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Q: Question 7- Find the derivative. g(x) = /9 - 6x +x²

A: According to the guidelines in case of multiple questions we are only allowed to do first question,…

Q: и а. у %3D 1-и. HIN

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Q: Find the derivative of a. (e(sin2x))/[In(cos2x)]2

A: We have to find out derivative

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

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Q: 1. Find derivative y' 3x2+4 y=5e

A: This question is related to deivative.