After applying variation of parameters to y " +y = sec(x), the following equations are obtained c{ (x) sin(x) + c, (x) cos(x) = 0 G (2) cos(x) – c, (æ) sin(æ) = sec(x) - What are c,(x) and c2(x)? С1 (х) — 1 C2 (x) = – tan(x) С1 (х) — х C2 (x) = – In(sin(x)) c1 (x) = In(cos(x)) C2 (x) = x С1 (х) — ӕ c2 (x) = In(cos(x))

Q: a3 2- Find the third derivative for = sin(÷) for f(x, y) ax3 -2sin?cos()+2 sin A:- ) sin()+3cos )…

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Q: Which of the following is the derivative of the function g(0) = cos(0) – sin(0)? Ogʻ(0) = cos(0) +…

A: Derivative.

Q: Four equations are provided below. Which equation follows from the Power Rule? I. (P)' = pr P 1…

A: Answer is option (a)  Because only equation 3rd follows the power rule .

Q: 2. y = sec- (6a2 –- 3x + 2) 3. y = (8x – 6) sin (8x – 6) 4. y = cos- (8x - 4)

A: As per the guidelines, I can solve only first 3 parts. Kindly repost for remaining parts

Q: For (cos(2x) – sin cos(x) – sin(x) - sin(2x) cos (2x)) +C. What is F (x)? A sin cos³ (x) – cos(x)…

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Q: Find the third derivatives of the function f (x) = e sin (2x)

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Q: Find f(x), where f'(x) = sin(x)+ cos(x) + 1 and f(r) = 2. %3D %3D

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Q: f(x) = 7 exp[ cos (5x)] '(x) = ]

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Q: dx 4. -' (x- 3)*

A: Solution is given below

Q: 5cos³(x) sin(3–2x) answer in terms of sin and cos only ind the derivative of y = + tan²(3x² – 4x) –…

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Q: Which of the following is not equal to the derivative of y = (cos(x) – sin(æ))?? A 2 (2 sin? (x) –…

A: The given function is y=cosx-sinx2

Q: Question: Find the derivative. tan 3x y = (x + 7)ª Select one: 3 (x + 7) sec?r (3x) – 4 tan (3x) y'…

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Q: 2- Find the third derivative for əx3 for f(x,y) = sin) )+2 sin) sin)+3cos°) 8y3sinz s()+2sin()…

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Q: Solve sin (x) + sin(x) = 0 on [0, 27]

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Q: s¯¹(x + 1) − √√14 − 3x², find ƒ¹(x). If f(x) = 3x cos

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Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3…

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Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: If f(x) = 2x cos ¹(x + 1) - √12-3x², find f'(x).

A: Introduction: Here use the derivative rules to solve the question.(1) Chain rule: (2) Power rule:

Q: 7. Find the second derivative given g(x) = sin x² A. 2 (cos x² - x sin x²) C. 2x cos x² 9 "(x) - 4 x…

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Q: Determine the derivative of y=tan(cos-(4x)). -1 A y'=. 4XV1- 16x2 None of the given choices -1 y's…

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Q: e of mwl

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Q: I. Functions and Limits 1) If f(x) = x2 – x + 3, find f(-5y) and f(x³) x2-1 2) lim X-1 2+3x-4 3) lim…

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Q: Find F'(x), f"(x) and f'"(x) for f(x)=x$+cos(9x).

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Q: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.

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Q: y=(b+x²)* +(1+x³)*(/3x² +x – c)cos²(4x) y' =?

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Q: 7. Find the second derivative given g(x) = sin x² A. 2(cos x? – x sin x?) B. 2(cos x? – 2x² sin x²)…

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