Given dy find y 6 cos 6x dx O sin 6x + c O 6 sin 6x +c O-6 sin 6x 0-36 sin 6x

Q: Can you help me step by step?

A: Using the formula of derivative of quotient of two functions, that is, . And using , we have,

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin-1 5x)…

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Q: 7. Find dy dx (a) y = (x* + 5x) cos 5x, %3D

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Q: b) y" + 2y' =4e' (sin x + cosx)

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Q: 1. Given y= [In(3x² +8)] dy find tan(6x) dx

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Q: dy Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 dx

A: Given that : The differentiable equation dydx = 8 sin 4x . y = 6 when x = 0.

Q: 4X dy 2siny ?) S dy sinzx e 3) S sin? dx

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Q: z = y sin(2x) + (1 + x²)e* + cos x tan¬(y* + 1) In(y6 + 137)

A: ∂z∂x=∂∂xysin2x+1+x2ex+cosxtan-1y4+1lny6+137=∂∂xysin2x+∂∂x1+x2ex+∂∂xcosxtan-1y4+1lny6+137=2ycos2x+1+x…

Q: Find dy/dx for the following : 1) y = x + sin x² + sin-1 5x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find dy/dx, simplify if needed. y=sin^2(4x) + (1/2) cos 8x

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Q: Given: x = 0 – sin 0; y = 1– cos 0 d'y Find: dx?

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Q: Given dy find 36 Cos 6x y' dx sin 6x + c 6 sin 6x + c O-6 sin 6x O-36 sin 6x

A: here option a is true.

Q: e +1 dz ez + z dx (c) (e) 5x + 1 CT/2 (d) cos x sin(sin x) dx

A: Topic - definite integral

Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: Q4A/ If y=x sinx+√1-x², then dy/dx is: 1.√1-x² sin-¹ x 2. sin(x) O 1 O 2 x cos(x) sin(x) sin(x)2

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Q: S*r(sin³x cos x + sin x cos x) dx -- 4 Ja sin 50 de

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Q: Given the following DE (cos 2y – 3x?y?)dx + (cos 2y – 2x sin 2y – 2xy)dy = 0 -

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

A: The given equation is: x2sin(2y-5z)=1+ycos(6zx) To find ∂z∂y, differentiate above equation w.r.t. y…

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: 2. a“y dx2 dy + 42+ 3y = sin(x) + 2 cos(x) dx

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Q: 4 Find dy/dx for: y = sec?x- tan²x b- y = sec -x) C- y = sin(tan(3x))

A: It is asked to differentiate the following functions with respect to x: a) y=sec2x-tan2x b)…

Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

Q: dy Find for y=7x sin x+14x cos x-14 sln x. dy

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Q: 4. Find d²y/dx² for the following functions: a) y = sin x cos 2x %3D b) y = cos*(sec² 3x) c) y =…

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Q: 3. Find dy for each of the following. dx (b) y = cos²(cot()) tan x (а) у %3D Vx4 + x2+3 (c) y = vx2…

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Q: (y? cos x – 3x?y – 2x) dx + (2y sin x- x'+ In y) dy = o

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Q: If x = 3 sin t and y =2 cos* t , then find dy at t = dx 4 O a. -0.67 O b. 0.76 O C. 0.56 O d. -0.86

A: Given x=3sin4t   ,y=2cos4t

Q: -. sin x cos? y dx + cos² x dy = 0; if x = and y =

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Q: dy Find dx for y = 14x +5 coS x. d(14x+5 cos x)%3D

A: Formulas:1. ddxxn = nxn-12. ddxcosx = -sinx

Q: Find dy/dx for the following: 1) y = x3 + sin x2 + sin-1 5x

A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: 3. Evaluate 2y²sinxy dy dx 4. Evaluate , S sin(x² + y²) dy dx

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Q: 6) F Sin12y Cos’ y dy

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Q: dz Oz d'z az dx'dy' dx2' dy2 Q2. Find for the following: a) z cos(2x + 3y) b) z - x sin(2x+3y)

A: To find the partial derivatives of first and second order of the given function

Q: Find the solution. dy X-+ 2y = dx sin x y(2) = 1 A cy = (3 – cos 2x – tanx)/x? B x = (2 + cor2 –…

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Q: 5. Evaluate r'sin(y³) dy dx

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Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2. Evaluate each. (a) sin(y²) dy dr cln(2) -In(5) e2z+y dy dx (b)

A: We use change in order of part a

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

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Q: (a) Find dr dy given that x²y + sin xy = 0.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: given dy=x+coS X find yuhere y( -1.

A: Using variable separable.

Q: dy Given that y =÷-sin3x . Find de 2 18. 4 +3cos 3x A B 4 -3 cos 3x 4 3 cos 3x C +3 cos 3x O A Ов

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Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

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

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Q: cos(xy) + sin(x/y) = 2y find dy/dx at point (pi,1)

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Q: 1.[* sin'x cos xdx parctan3/2 3secr 2. [ y dy dx J.

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Q: 20.1 please provide all necessary solutions and explanations.

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Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

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Q: dw Find dx where w = cosz- cos 4x cos'4y + sin 4x sin 4y and z= 4x+ 4y. dw 口

A: lfirst put value of z and then expand cos term Now we get Zero whose derivative is zero