dy If y= sec +cos-1(x²), then dx Select one: -2x O a. Vx* -1 V1-x* 2x 2x 2x Ob. Vx*-1 V1-x -4x Oc. 1-x4 -2x -2x + d. Vx4-1 V1-x

Q: d²y Find С. dx? 1. y= sin 2x +cos² x sin x 2. у- - y= 1-cosx

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Q: dy If y= sec +cos(x), then dx Select one: -2x -2x O a. x-1 1-x ーメ 2x 2x O b. x-1 メー1 V1-メ -4x C.…

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Q: Find if x2y - sinx - cos y dy dx O dy da 2xy x² COS sin y 10.

A: Given: x2y-sinx-cosy=10. Now,                x2y-sinx-cosy=10Differentiating both sides wrt…

Q: dy 7. dx cos(x + y), when x = 0,y = 4

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Q: dy 1- IF y = cos(3 cos 2x) find dx

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Q: d²y if dx2 sinx O Find Lon Vt2 + 5 dt + sinx = y- x secx

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Q: Find the solution. (y - x- xy cotx) dx + x dy = 0 A) xy sinx = c + sinx - xcosx B) xy cosy = c+ sinx…

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Q: 5*-1 a) If y =Vx* +sin (5x)+ 2 then dy fınd dx b) If y = e2*sinx, then show that d²y =…

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Q: y=(4x -5x +6)(e-sin 2x), then find dy at x 0.

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Q: Find d²y/dx². y=xsin x 10 cos x

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Q: If y= sin f dt, then dy is dx 2x sin x sin x 2 VX sinx 2x sinx

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Q: dw Use the Chain Rule to find , where w = sin 8x cos 2y, x= and y =t. dt dw dx (Type an expression…

A: Chain rule

Q: Consider - 2x 2) (² f(x, y) = e fxx + fyy = 0 cos 2y - e -2y cos 2x. Verify that

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Q: d²y Given that y = -4x cos 2x +4 sin 2x, find dx² at x = 2

A: Given: y=-4xcos2x+4xsin2x

Q: d²y dy and dx Find if x = sin 3z and y = tan23z dx2

A: It can be observed that both the variables x and y are the functions of  z, therefore to find the…

Q: dz 1) Find ifz = 3 cos x – sin(xy),x =y = 3t - dt

A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered…

Q: dy Let y=e* sin 3x. Show that 3e-2* cos 3x - 2y. dx -2x d'y = -13y-4- dr Hence show that dx

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Q: dy If y = sin(6x – 4), then dx O a. 4 cos(6x – 4) O b. -4 cos(6x – 4) 6 cos(6x – 4) O d. -6сos(6x -…

A: y= sin(6x-4)

Q: (D² – 2D- 3)y = 2sin x a. y, = -cosx – 2 sinx =csx COSX b. y, = --cosx - - sinx COSX c. Y; = - cosx…

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Q: dy dx if e*y = sin-1y+ x²y + Find

A: Given exy2=sin-1y+xy2+yπ

Q: determine dy/dx if xy = ecsch(x)+πcos(0)

A: Given, xy = ecsch(x)+πcos(0)

Q: 2. If y = e-* cos 2x, then f'(x) = %3D

A: Given : fx = e-xcos2x

Q: Find dy dx' i) f(x) = Cos2x Sin²x %3D ii) f(x) = log,(x' +4)* e-* /2x - 5 -3x iii) f(x): (6-5x)'

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Q: Can you help me step by step?

A: The derivative of a function is computed as follows.

Q: 5-2x dy if y = cos Find dx %3D 5+ 2x

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Q: Find the solution. (у -х + ху сotx) dx + x dy %3D 0 A xy sinx = c + sinx - xcosx xy tanx = ccosy…

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Q: Find dy/dx of y sin -1). A 3. B 1-9r2 D

A: Y= sin-1(1/x)  and we have to find dy/dx

Q: 3x d. Evaluate dx COS cos (3t – 1) dt

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Q: Q NO3)IF y=Jsinx + Vsinx + Vsinx + . then show that(2y-1) = cosx .And Also Find dx (5vcosx) dx

A: Our objective is to find the derivative of above functions.

Q: ution of y" + 4y = cos 2x b

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Q: dy Find as for y = x - x sinx O 1) - 1 - 3x² cosx - x³ dy sinx dy O 2) = 1 - 3x² sinx - x³ cosx °…

A: Differential

Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

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Q: Solve the ODE: (7e sin y – - 49y sin(7x))dx + (e“ cos y + 14y cos(7x))dy = 0

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Q: d²y if y = 5x cos x. dx? Find dy dx? ||

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Q: x7+3x2. Find dy/dx if: (y)² = sin (cos³(* +3: *)) %3D 2

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Q: Q3: Find if: dx 2x dt sinx dt (1) y = (2) y = [ %3D t- 2 X cosx

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Q: Find dy/dx: (a). y = cos 8x + sin r2, (b). y = Vcos 8x + sin x². %3D

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Q: a. cos x dy + y(sin x - 1) dx = 0; when x = 7, y = -2

A: According to our guideline we are supposed to to do only the first question if you want any…

Q: b f sin'x. cos²x.dx ef cos(Inx).dx C-

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Q: Obtain the der a) cos(xy)=2y, find y'

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Q: Q2) a) Find an® sec²y dy b) Is cos4xv2-stn4x dx = (2- sin4x) +Ctrue or false? show me

A: Use fundamental theorem of calculus for part (a)  For part (b) use substitution method

Q: dz Find dy x² sin(2y 5z) = 1+ y cos(6za)

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Q: +3x2. Find dy/dx if: (y)² = sin5(cos³(- -)) 2 %3D

A: Given: (y)2=sin5cos3x7+3x22 ----(1) To find: dydx Let u=x7+3x22 , v=cos3u w=sin5v Now equation (1)…

Q: -2x 2) (² f(x, y) = e¯ fxx + fyy = 0 Consider -2y cos 2y - e cos 2x. Verify that

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find dy/dx in terms of x and y if cos² (4y) + sin“(4y) = y + 8. %3D

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Q: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

A: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

Q: dy 7. dx = cos(x + y), when x = 0,y == 4

A: Differential equations, with substitution method and separation of variables

Q: Evaluate the dy/dx> d) y=e-x((cos(2x)) a) -e-x(cos2x+2sin2x) b) e-x(sin2x-cos2x) c)…

A: y=e-xcos(2x)differentiate…

Q: Q1: Solve the DE d³y dy x3 +x dx3 = x Inx cos(2lnx) by using inverse dx operator method.

A: To Determine :-  The given differential equation  x3 d3ydx3 + x dydx = x lnx cos2lnx by using…