Question 3 Suppose that f satisfies | f(x) dx = 6 and 1| f(x)dx= –4. Calculate -5 (2.x + 10 – f(x)) da.

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: 1. -5 cosh x 2+3sinh x dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: tan(e-2x) In(cos(e-2*)) dx 5 S е 2х

A: We have to find out

Q: ∫ 2cos^2(x)sin(3x)dx

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Q: Question 8. By first writing 1 f(x) = in the form x² + 2)° (x2 + 2)°, where a < 0, obtain the…

A: f(x)=1x2+29 Lets first write it in the form (x2+2)a where a&lt;0 .

Q: 9. [Essay] Find the derivative of y = 3x + 1). За* (x? — Зх + 1). Зах

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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: Eval 7/3 (f) tan ³ 0 sec³ 0 d0 0.

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Q: Q3:- A. Find the Gamma function of [(1) using definition

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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 27 Determine the second derivative of 6 y - xy2= 1 A y " = 2y³ ( 6 – 2 x y ) -2 ( 2 – x y (…

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Q: f(x csc² 2x - x cos 2x)dx

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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 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: EXAMPLE 2 Find the derivative of the function below. g(x) = 3 + t2 dt SOLUTION Since f(t) 3 + t2 is…

A: To find the derivative of the function

Q: 1. Find f* dx by hand and show how to check the result is correct by differentiation.

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Q: Question 6 You do not need to simplify the answer. :) For each of the following, use the quotient…

A: Given,  f(x)= (x2+x)x-2 = (x2+x)/x2 = (1+1/x) differentiate with respect to X, f'(x)= d/dx 1 + d/dx…

Q: QUESTION 5 Find the derivative. y%3= + 8 sec x Oy'-2- 8 sec x tan x x2 Oy'- - 7. +8 sec x tan x Oy'=…

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Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

Q: dy Part II: Find the derivative ) implicitly. Show all work. dx 11. e" – 4x³ + 5y? = 10

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Q: cIn(2) Major Topic 1. (a) Compute dx er + 3 (b) Compute dr 1+ 76 (c) Find the equation for the…

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Q: f(x csc² 6x - x cos 6x)dx

A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

Q: 1. f(x) = cos (-:-)

A: From graph, it is clearlimx→∞cos1x =limx→-∞cos1x = 1

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: 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: fxcos (x)dx COS

A: Assume u=x^2Find du

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 19. Obtain the second derivative of the function f(x) = -5x? + 2x5 + 4. Enter your answer…

A: Topic:- derivatives

Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

A: Note that  d/dx (x^n) = nx^(n-1)

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

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Q: x5-3 14. S4 cos (-3x + 2) dx

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

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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: 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 6 Find the derivative. 10 y= +6 sec x Oy'= 10 +6 tan?x O y'= - 1 - 6 cscx Cy = +6 sec x tan…

A: We can use the derivatives in order to solve the given problem

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: QUESTION 4 Solve x - 3 -dx J x(x – 1)(x – 2)'

A: We use partial fraction method and Logarithmic properties

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: dx 2x2+8 dx -9x2+6x-2 e 2X sin(e2x)dx cos²(e2x)+3

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Q: Question 12 VI² – 1 What is the derivative of y O y = 1 1 - 1 O y' %3| 22-1 O y' =

A: Given query is to find the derivative of the expression.

Q: S 7 tan (2x) dx 2 Hint: tan²x = sec ² x - 1

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Q: Example: 1. Find the derivative with respect to x for the following. a. y= e3x2-1 b. f(x) = ee c. y…

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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. 11 13 15 12 37 25 31 42 57 Find First & Second derivative at x=3.

A: To Determine :-  The first and second derivative at x =3 by newton forward method.

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

A: derivative

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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