Implicit Differentiation 5. Find dx dy for each of the following functions. 5- sin x - 3x dy 2ey + 20y a. x'+5y* + e - cos.x 5x [Answer: dx b. x + y [Answer: dx dy y°(2e** – 2x) y sec' y-1 + tan y = 5 %3D dy xy + y or y(x+y) + In 6x 5 y [Answer: dx %3D C.

Q: 2. Find dy/dx (a) x = 5 sin 16t + 126 and y = 5 cos 16t + 13 (use parametric differentiation) (b)…

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Q: (a) Find the differential dy. y = cos(xx) dy = -T sin (Tx)dx (b) Evaluate dy for the given values of…

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Q: dw y of w=- dt H.W: Use the chain rule to find the derivative 1 with x= cos t, y= sin² t, z =- dw…

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Q: Find dy/dx for: y cosy = xy Y O -y sin y+cos y-x Y cos y-x Y -y sin y-x 1 cos y-x O O O

A: Given :y cosy= xy Use product rule of differentiation which states that…

Q: 1 The derivative dy for the function dx ба. [ 17 17 - ()" y : 17 dy b. [ The derivative for the…

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Q: cos (x² + y') = x - lg Find dy using implicit differentiation: 2. %3D dx

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Q: dx y². dy dx dy = + 2xy = sin y,x(n) = 1 -2xcsc 2y - 2x³ cos 2y sec 2y h. i. sin 4y + (4y + C)2y π[²…

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Q: dy 1- Find by implicit differentiation. dx 2- x2 + y2 = 100. 3- x3 + y3 = 3xy². 4- x²y + 3xy3 – x =…

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Q: find dy/dx.5. y = csc x - 4sqrt(x) + 7/e^x        6. y = x^2 cot x - 1/x^27. ƒ(x) = sin x tan x 8.…

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Q: Given (x+ y}* – ( x - v}² = x* + y^, find dy/dx using implicit differentiation. A. - 2- E. None of…

A: Given x+y2-x-y2 =x4+y4. We have to find dydx  using implicit differentiation.

Q: Which of the function is NOT an exact equation of the first order? A (cos x cos y - cot x)dx – sin x…

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Q: 1) x dy = y(1 + In y – In x) dx 2) y' – y tan x + y? cos x = 0

A: Given differential equation isxdy=y(1+lny-lnx)dx We need to solve the equation. Note:- According to…

Q: (d) a sin 0 d0 + (x³ – 2x2 cos 0) dx = 0 - %3D (e) x dy - [y + xy°(1+ ln x)] dx = 0 %3D

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Q: 4. Find for implicit function x?tany + y2 = In5x + 7 dy %3D dx dy 5. (i). Find the for the function…

A: Using chain rule and by pa

Q: dz dz Find dx and by implicit differentiation, and confirm that the dy results obtained agree with…

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Q: 1- Find the average rate of change for y = xo = 1 x, = 2 2- Find the instantaneous rare of change…

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Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y=…

A: Let's find.

Q: dz Find and dz by implicit differentiation, and confirm that the dy results obtained agree with…

A: Let f(x, y, z) =yex-5sin3z-3z

Q: Find dy/dx for the following implicit functions ''(vצ )-1 + '(yyI-(x - V1-(xy) – x\1-(x- y)' sec' x…

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Q: Find dy/dx for y = 3l(sin-(e-3**)12 dy 3(sin"(e-*)* In3 2(sin-"(e-3x*)- dx 1(-6х) V1-e-6x2

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Q: ( cos x - 3xy- 2x) dx + (2y sin x – x+ In y) dy = 0, y(0) = e

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y =…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the differential dy of the given functions . (Use "dx" for dx.) a) y = 2x − (sin(x))2 b)…

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Q: 1. Find dy/dx by implicit differentiation.  x sin(y) + y sin(x) = 7  y' = ?

A: Note:We are authorized to answer one question at a time, since you have not mentioned which question…

Q: d/dx(7v-2u) the value of derivatives for u"(2)=3 v^(2)=-1 20 -13 O * y=In(tan^-1(x)).dyldx…

A: 1.  (7v-2u)'=7v'-2u' and given v'=-1 and u' = 3 at 2=7×-1-2×3=-13 the answer is option 3.

Q: Q1)Find dy/dx for the implicitly defined relation sin(xy^2)=xarctan(y). Q2) Find the first two…

A: Given:sin(xy2)=xarctan(y)Differentiate both sides:cos(xy2)y2+2xyddx(y)=arctan(y)+xddx(y)y2+1Isolate…

Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

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Q: II. Find by implicit differentiation. dx dy 1. 2x? + 2y? =17 2. x'y - xy = a'b 1_1, 3. x y 4. 2x +…

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Q: {[1+ y²] sin(xy) + xycos(xy)}dx + {[1+x²]cos(xy) – xysin(xy)}dy=D0

A: Given     1+y2sin(xy)+xycos(xy)dx +1+x2cos(xy) - xysin(xy)dy=0

Q: dz Find and dz by implicit differentiation, and confirm that the dy results obtained agree with…

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Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx…

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Q: 1. S(tan -1)ʻ dp 2. sin2 B cos B dB .5 xdx 3. S (-7-8x-x* 4. Sx³ (a2 + x2) dx xdx 5. f (x²+a²)³ 6.…

A: (2)

Q: Here, the function y (x) is defined implicitly: x = cos (a³ + y°). Again, a represents a constant…

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Q: 31. (1+ y cos x) dx – sin x dy = 0 - 32. (sin? y+ x cot y) y'= 1 33. dx – (y- 2xy) dy = 0 34. dx –…

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Q: h'(x) = cosxcot(sin^3x)+cosxsinx ⠀ h(x) = sin(x) -2 (cos(t³) + t)dt

A: Applying Leibniz's rule

Q: Find dy by implicit differentiation. dx x? - xy^ + y? = 1 dy dx II

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

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Q: 7- cosy dr+(x siny-cos y)dy=0 8- (1+y)dx+(2xy+ y +1)dy = 0

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Q: 2. y' = y sec x ; 3. у(3x3 — х + у)dx + x?(1 — х?)dy %3D 0 4. у(2х — у + 1)dx + x(3x — 4у + 3)dy — 0…

A: 2) y'=y secx this can be written as dydx=y secx⇒dyy=secx dx integrate the function ∫dyy=∫secx dx…

Q: Find dy/dx by Implicit differentiation. x = 7 In(y-24), (0, 5) dy %3D dx Find the slope of the graph…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = (x+2)/(3x-8

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Q: 1. Find dy/dx using chain rule and or implicit differentiation. a) In(xy) + 5x =30 b) (sinax +…

A: As per bartleby guidelines we only give first three question answers.

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: the differential dy of the given function. (Use "dx" for dx.) y = x(1 − cos(x))

A: Given equation is y=x1-cosx.

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. dy dx At 4, x…

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Q: dy by implicit differentiation. dx E. Find 1 ー+ー=2 х у 1 x² +y? = xy 2. 1.

A: the process of finding the derivative of a dependent variable in an implicit function by…

Q: I Find the second derivative (y") of the following functions and simplify the final results. 6. y =…

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first…

Q: dy 1- Find by implicit differentiation. 2- x2 + y2 = 100. 3- x³ + y³ = 3xy². 4- x²y + 3xy³ – x = 3.…

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Q: 1. Find given x = 0 - sin 0 dy dx' y = 1- cos 0 1. Find dy given x = et-cos t y = et - sint 3. Find…

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