F. Find y' of each of the following: 3 x cos y+ y³ – xe' - 0

Q: 13. Find y' for sin(xy²) + x² = y². %3D

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Q: Solve the DE: (cos y- cos x)y' +cos y sin 2x=0

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Q: dz Find in the function ryz + a’yz = cos (xyz) CoS az

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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: 2 1 + x - 1 then find dy when – 1<x <1. If y = tan dx

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Q: Differentiate y with respect to x where y= cos(-3x2)

A: Differentiate y with respect to x.

Q: Find the general solution of y′−y=sin x + cos 2x using variety of parameters

A: Given that: y'-y=sinx+cos2x To compare the given differential equation with standard form of…

Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: Find the local linear approximation of cos x at xo = cos 61°. T/3 and use it to approximate

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Q: dy Find for three only: dx 1) y = In(cos x . Inx²)

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Q: Find the derivatives ( for the following: (choose Four only) dx 1.y = u3 -3 , x = 1-5u3 2. y =…

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Q: 5.32. z = sin(x² + y?)

A: To find the differentials of third order.

Q: 1. Lif f(x,y,2)=2exp(-5xyz)cos(15z) Find ôxôz

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Q: y 2sin x-cos 2.x for 0° sxs360

A: Consider the function, y=2sinx-cos2x Differentiate with respect of x,…

Q: Let z=sin (y 2- 4x). Find the rate of change of z with respect to y at the point (2, 1) with x held…

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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: Use the appropriate form of the chain rule to find the derivatives. w = 12x2 + 12y² + z²; x= p sin o…

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Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

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Q: Use the appropriate form of the chain rule to find the derivatives. 12x2 + 12y2 + z²; x = p sin o…

A: Given:  w = 12x2+12y2+z2 x=ρ sinϕ cosθ, y=ρ sinϕ sin θ, z= ρ cosϕ  Find: ∂w∂ρ, ∂w∂ϕ and ∂w∂θ Chain…

Q: 1(y) = In(sin(cos(y²))) %3D

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Q: Let z= sin (y²– 4x). Find the rate of change of z with respect to x at the point (2, 1) with y held…

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Q: 1. Find dy for the following functions : dx Vsin x.cos x 1+2.ln x 3y (ans.: coi x 2 tan x -)) x(1+2…

A: To solve given differentiation easily we take logarithm on both sides and then differentiate it.

Q: Find dy/dx: y = sin (In x²). A 2 cos (In x²) (B) 2 cos (In x²) / x

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Q: 9. Find dy for y defined implicitly. by the equation xy-secly)-3x

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Q: find dy. = cos (x2)

A: Given- y=cosx2 To find- The value of dydx. Formula used- ddxcosx=-sinx.

Q: let y=[cos(2x-π)]3 Find y' at x=(π/6)

A: Compute the derivative as follows.

Q: Q-1: find the derivative of y with respect to the given indepe 1. y = In(Inx) 2. y = In(In(Inx)) x…

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Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

Q: 12. Find frxyz for f (x, y, z) = sin (3x + yz)

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

A: This is partial derivative so differentiate it as normal differentiation of z with respect to y…

Q: Find the value of zrr at the point (0, 3, 2) where x?y? + z2 – cos(xyz) = 10. -

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

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Q: (一 - dx t - 3 X*cos(3)-4-2 ) -)dy=0 = 0

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Q: Find y' where y = cos (ze19 =) – gec = Cos ( xe-

A: on doing differentiation with respect to x we get option C

Q: 5) Find 业一 dy for y cos(x) sin(x)

A: We have to find the first derivative.

Q: 5 Find *: (a) y = cos(11x + 2x) dy

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Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: 1) y= y(x) is given implicitly by 1+xarcsin y – 2y cos.x = 2xarctan(-). Find y' at y point 0). the

A: First we will differentiate the given equation with respect to X. Plugin x is equal to pi by 3 and y…

Q: if  x²v+sin(xu)-yv²+u³v=1 x²u-2yv=1 ، cos(xu)+yv=5  ,find dy/dx

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Q: Find the length of the curve  y = 4 ln(cos(x/4)) from x = pi/2 to pi

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Q: -1 dy Find by implicit differentiation if x³ + 6x tany = ev. dx dy dx

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Q: Use the appropriate form of the chain rule to find the derivatives. 5.x2 + 5y2 + z²; x psin ф сos 0,…

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Q: HW 0If y=tanx show that- yl" =-2 Siny coży

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Q: Find y" at (2,4) for cos(x²y + 5) = 16. %3D

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Q: Find the value of zr» at the point (0, 3, 2) where a²y² + 2² – cos(ryz) = 10.

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Q: Find fyxyx for f(x, y) = ln(xy) − cos (xy) at (1, π)

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Q: (b) Determine cos(x²) 2x dx by using substitution method.

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Q: x2 sin3(x) Q.2\ Find dx if y = In cos(x*).V1+x/

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Q: Find the slope of the graph of cos(x + y) = 2x at the point ( 0, T1/2 ). Hint: Differentiate…

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