(i) Find dx dy for the function y = (sin x)ª using logarithmic differentiation dy (ii) Find for the parametric equations dx? x = cos t, y =1– sint OS

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A: y=sinxe-x. Then we have to find desin-1ydlnx.

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A: Given,            arcsecyx+x2-y232=2

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Q: dy Find dx from the equation y = sin[cos xy].

A: Explanation of the answer is as follows

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Q: rapidly at Po, Then find the derivatives of the functions in these directions f(x, y) = x²y + e" sin…

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Q: Use implicit differentiation to find dx a +y? = 2x+4y3 dy dx (Type an exact answer, using radicals…

A: This question is related to implicit differentiation, We will solve it using given information.

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Q: #15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y…

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Q: Find dy/dx using implicit differentiation a. siny2+cosx2=1 b. y+x2+e3xy2=y2

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Q: 5.) Find and d²y , and find the slope and concavity(if possible) at the given value of the dx2 dx…

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Q: dy Use implicit differentiation to determine dx given the equation a · ev + cos(x) = y². dy

A: We will do implicit differentiation.

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A: Here, we will differentiate  siny dx+x-sin2ydy=0....(1)

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A: (a) From the given problem:   ft=sint   So,   dftdt=ddtsint=cost...we know that:dsinxdx=cosx   Hence…

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A: Take derivative with respect to x and express dy/dx in terms of x & y.

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Q: for the equation dx ecosh-(x) = In(x) sinh-(y) Find %3D

A: Using differentiation of   product rule and implicit differentiation,

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

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A: in questio 1=dy/dx=(dy/dt)/(dx/dt). in question 2.we know that log(m)^n=nlogm.

Q: QUESTION 8 Use implicit differentiation to find dy/dx. 2xy - y 2 = 1 y-x X-y y-x X-y

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A: We have to find the derivative of given function by implicit differentiation. Please see the…

Q: 2. A curve C with equation y = sin2x 0 < x <5, has a stationary point, P. e3x dy (a) Find an…

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Q: (i) Find dy for the function y dx gsin a using logarithmic differentiation d'y (ii) Find for the…

A: We know ln(xy)=y ln(x) ddxln x=1x ddx(sin x)=cos x ddxln y=ddy(ln y)·dydx=1ydydx…

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Q: x + y + exy = e a) Find dy/dx using implicit differentiation. b) Find the slope of the tangent…

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