dy 9. Find for the following implicit functions: dx 2. Sinhy tan x

Q: dy Find dx by implicit differentiation for the following equation. x²y y 5x+6y +7 dy -口 %3D dx

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Q: dy For the function: sin y = 6x + 9, find dx (using implicit differentiation)

A: given function is  sin y = 6x + 9

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below y = Arctan…

A: Given     y=tan-1(sec(3x))+π(cot(2x)

Q: dy For the function tan y = 7x + 75, find dx || (using implicit differentiation )

A: Given tan y=7x+75 Taking derivative with respect to x. ⇒ddx(tan…

Q: dy For the function: sin y = 4x + 8, find da (using implicit differentiation) O 4 csc y -4 csc y O 4…

A: The given equation issiny=4x+8 ....1to find dydx

Q: Find dy /dx for the following functions: x+ tan(xy) =N y = xcos x

A: The sum/difference rule of derivative: f±g'=f '±g'. The product rule of derivative: f·g'=f '·g+f·g'.

Q: dy d'y Use implicit differentiation to find and dx dx 2² +y? = 1

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Q: Find for the following functions: - dx 3) y = tan

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Q: Find dy/dx by implicit differentiation for the following.:y ln tan y + x = 4

A: Given: ln tany+x=4 differentiate with respect to x we get,  ⇒ddxy lntany+x=0 ⇒ddxy lntany+x+ddxx=0…

Q: Find dy/dx by implicit differentiation. (cos TIX + sin ny)5 = 66 dy/dx = xp/Áp

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Q: dy Find dx for implicit function x cosy-3y = cot5x + 3 dy secx

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Q: dy Find for the following function. dx y = 7 sin x cos x

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Q: dy Q5: Find for the following functions: dx (3) y = et sin²x In√x

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Q: 04) Find dy /dx for the following functions: a) y².cotx= [sin(x.y)]-¹ b) y = (lnx + x)tan

A: See the answer below

Q: dy of the following implicit functions. dx Find ху - Зу 10x 3.

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Q: dy e: Find for the following functions: - dx 1) y = Vx + 8Vz – 2

A: Given : y = x+8z3-2x3

Q: dy Find for y defined implicitly by the equation xy – sec(y) = 3x dx

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Q: Find dy/dx by implicit differentiation for the following.:sin(xy) = x

A: Given: sin(xy)=x

Q: Find dy/dx by implicit differentiation. e^(y)=3x−7y Answer: dy/dx=

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Q: dy Find Y for the function y= 2 sin 3Xcos 2X dx

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Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: Given :lnx-y=xy+y3y=tan3cot7x Following formulas are used- ddxxn=nxn-1. ddxlnx=1x…

Q: dy Qa: Find for the following functions: - dx 1- y = tan/2/2x + 7

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Q: dy dæ Find for the following implicit function y = sin(x + y)?

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Q: -Ive the derivative dy for the function: x dx = e'sint ; y = ecost %3D

A: Given: x=etsinty=e-tcost We have to find dydx.

Q: Find dy/dx by implicit differentiation for the following.:y l n x + 2 = x3/2y5/2

A: Consider the equation. y ln x + 2 = x3/2y5/2

Q: Find- for the following function dx x=a(cost + t sint).y=a (sint-tcost)

A: y=a(sint-tcost), x=a(cost+tsint) To find dy/dx.

Q: Find dy/dx for the following function: X+ tan (xy)-0

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Q: dy for the following functions: dx EX-9- Find ) y= sec'x– tan' x %3D

A: t differentiate

Q: Q2) Find dy /dx for the following function: y = (sin-lx)sinx

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Q: Find dy /dx for the following functions: x+ tan(xy) = n y = xcos x

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Q: Find (dy / dx) for the given functions Y = ( sec x / x )

A: Consider the given function y=secxx The derivative of the given function can be obtained using u/v…

Q: dy for the following function Find dx 2x sin x y 4cos X

A: Given function is

Q: Q2) Find dy /dx for the following function: y = (sin-1x)sinx

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Q: Q4/A/Find for the following functions dy dx X 1. y = cot 2. y = sinxtanx

A: Sol 1) ddxarccot1+x1-x=-11+x1-x2+1ddx1+x1-x=-11+x1-x2+1·21-x2=-1x2+1

Q: Find dy/dx by implicit differentiation. (sin ?x + cos ?y)8 = 12

A: (sinx + cosy)8= 12 To find dydx by implicit differentiation.

Q: d'y 6. Find by implicit differentiation. x + y = sin y

A: It is implicit differenriation.

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³; (2)y=tan³ √/cot(7x); cash? -nh.…

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Q: dy Find dx for implicit function x? sin y + 3y3 = e5 + 5

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Q: Find dy Idx for the following implicit functions : y2.cot x = [sin(x. y)]-1

A: Given y2cot(x)=[sin(xy)]-1            =1sin(xy)            =cosec(xy)          ∵1sin(x)=cosec(x)By…

Q: Find dy/dx for the following function: (3) y = √tan x

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Q: dy For the function: sin y = 6x+10, find (using implicit differentiation) 四一

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Q: dy for the following function Find dx 3 sin x y = 8-5 sin x

A: Recall the following facts.

Q: dy Find for the given function. dx 9 - tan(x) y 9 + tan(x) dy dx

A: Proceed as shown below

Q: dy Find dx for the function y = ecotx

A: We want to find the derivative of the given function.    y=ecotx Here we apply chain rule of…

Q: dy Q2- Find for the following function :- dx 1- y = sinh-1(tan x) – tanh-1(sin x)

A: Given that      y = sinh-1(tanx) - tanh-1(sinx) We have to find dy/dx.

Q: Find dy/dx for the following function:: √y-etanx = 2

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Q: Find dy/dx for the following functions:- (1) xlny – ylnx = 1 (2) y = tan-[cosh(2x – 3)] (3) y = (sin…

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Q: dy for the function y = e` dx tan 8x Find the derivative

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Q: Assuming y is a function of x, find dy/dx for 5x sec(y) – 3y sin(xy) =e^(5xy)

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