(b) If z= 3x² + y² 4xy Hence, Show that find ôz dz dx dy Ox 3 3x a²z y a²z y ổr x ô and =0 8² z 2 expressing all derivatives in th

Q: dy Find - by implicit differentiation. Jx + y +Vxy =4 dx

A: Given: x + y + xy = 4

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

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Q: 3- y = sec x prove that d? y + y = 2y3 dx2

A: We have to prove the given differential equation to be true.

Q: te √e³x Evaluate 3x cos 4x dx.

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Q: Find dy/dx for x*+siny = x'y

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Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

Q: dy 5- dx for y = tan (3x) is equal to: b) sec (3x) a) 6x sec(3x) tan(3x) c) 6x sec (3x) 6- dx for y…

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Q: Differentiate y = VIn x 2 Inx +1 A. 2(In x)2 3. Inx-1 3 (In x)2 2 Inx-1 C. 2(In x)2 13 1. D. 3) 2(In…

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Q: Find dy/dx given xy2 + x²y5 – x³ = 3 %3D -

A: Given that : xy2 + x2 y5 - x3  = 3. Find dy/dx . We know that d(xn)/dx = nxn-1.   Here i attached…

Q: (A) Evaluate / (4x – 5) (4/x + 4x) dx. x² + 3x - 6 (B) Find dy -, if y = 3 -)4 when x = 1 %3D dx

A: *we have to perform integration operation in A & differentiation operation in B.

Q: Find dy/dx by implicit differentiation   √(x + y) =  1 + x2y 2

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Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

Q: Verify that y = Ce^−3x is a solution to the ODE dy/dx + 3y = 0, where C is an arbitrary constant.

A: Step 1:The provided ODE is:dxdy​+3y=0   .........(1)It is needed to verify that y=Ce−3x is the…

Q: Use implicit differentiation to find x³ + 3x?y + y° = 8 * + 3xy O A. * +y * + 2xy x² +y? OB. * + 2xy…

A: To find the derivative.

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) =…

A: Given that: g(x)=(3-x2)(x3-x+1)

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

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Q: Q1) Use implicit differentiation to find dy/dx if a) (3xy + 6)2 = 7y b) x cos(3x + 2y) = y sin x %3D

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Q: 1. (2xy - 3x?)dx + (x² - 2y)dy = 0

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Q: 2. 2 4 (xクノー→0ノ0) X'+3y"

A: Find the value of the limit of lim(x,y)→(0,0)x2y2x4+3y4. Suppose that the (x,y) approaches to (0,0)…

Q: y = eVx+cosx

A: To  findderivative of1)y=ex2+cosx

Q: d²y dx² Use implicit differentiation to find dx dy 히근 and 4√y=x-3y II dx 이승

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