Find y' if y = 5x sin x. O A. y' = - 10 cos x+ 5x sin x B. y" = 10 cos x- 5x sin x C. y' = - 5x sin x O D. y" = 5 cos x- 10x sin x

Q: What is y' of y = sin¹ (cos x)? O A. y' = ATHE sin + 1-cos² 1 O B. y' = 1 OC. y'= sin z 1-cos² z OD.…

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Q: y'tan x sin 2y = sin² x + cos² y.

A: We need to solve y' tanx sin2y=sin2x+cos2y This can be written as: y' tanx…

Q: What is dy/dx for y=cos(sinx)? O a) dy/dx = -sin(cosx) Ob) dy/dx = sin(sinx) O c) dy/dx =…

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Q: Find y". y = 6 sin(2x + 10)

A: Given,            y=6sin2x+10

Q: Find y ' if sin (x+ y ) = y 2   cos x

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Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: Find y" for the following function. y = 4 cos x sin x y" = У'-‑

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Q: find y'. (show all the steps please) cos(xy) = x-y^2

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Q: Find y'' if y=-6 cos x. OA. y' = 6 sin x OB. y' = 6 cos x OC. y'= -6 cos x OD. y'= -6 sin x

A: The function is given byTo determine: The expression of the second derivative of the function.Formul…

Q: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

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Q: Differentiate y = In ( sin² (4x)). A y' = 8 tan (4x) y' = 8 cot (4x) y' = 8 csc2 (4x) sin (8x) y' =…

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Q: 4. sin2xcosx + sin x 1 xE[-27, Zn]

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Q: Find y^" when y=sin(ax)*cos(bx),a,b any real numbers. Find y" when y = sin(ax) · cos(bx), when a, b…

A: The given function is: y=sin(ax)cos(bx) So, y'=sin(ax)ddx(cos bx)+cos(bx)ddx(sin(ax))…

Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

Q: cosx + cosxcot’x secx

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Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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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: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: y" + y" = e* cos x

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Q: sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'=…

A: Given: y=sinx1-cosx We have to find y''.

Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

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Q: sin x = csc 2x cos x cos 3x sec 2x

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Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

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Q: Find f'(z) if f(z) = 8 cos(z) + 9 sin(z). Answer

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Q: 49. Differentiate y = cosh²4x a. 4(sinh 8x) b. 12(sinh 8x) c. 8(sinh 8x) d. 2(sinh 4x)

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Q: If A = A-¹ = 2e4t sin(2t) -2est cos(2t) -4e4t cos(2t) -4est sin(2t) 1/(2e^(4t) sin(2t)) then

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