Answer 9-10 Problem Set 4: IMPLICIT DIFFERENTIATIONFind dy/dx or y' by implicit differentiation1. x+y =12. -y 13. '+x'y+4y 64. x+2xy+y' c5. r'y+xy 3x6. y+x'y'=1+x*y7. +y=1+x*y8. Jay =1+x'ySolve for dx/ dy or x'9. y+xy+yx'=y+110. (r* + yf = ax'y

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Answered: 9. y+x'y+yx' y+1

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3
Find dy/dx in terms of x and y if cos^2(9y)+sin^2(9y)=y+7 dy/dx= implicit derivative problem.
Do I not have to do anything to find the other partial derivative Fx? Or is that just 0? Also does that second part become 0 becuase the d/dy means we take the derivative in respect to y and there are none (only sin(e^2x) and 2x) so it is 0? Sorry for the questions it has been a very long time since I've done any math so I'm struggling a bit to grasp the concepts on this problem. Thanks!
(1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1
5. Suppose that x and y are related by the given equation and use implicit differentiation to determine dy/dx. xy=6 dy/dx=?
1) Find the linearization L(x) of f(x) at x = a.f(x) = 2x2 + 4x - 1, a = 4 2) Use implicit differentiation to find dy/dx and d2y/dx2.xy + 3 = y, at the point (4, -1) 3) Provide an appropriate response.The line that is normal to the curve x2 - xy + y2 = 25 at (5, 5) intersects the curve at what other point? 4) Find the second derivative.y = 4x2 + 10x + 2x-3 5) For the given function, find each of the following:(A) Intercepts(B) Vertex(C) Maximum or minimum(D) Rangef(x) = (x + 1)2 - 4 6) Find the slope of the line tangent to the curve y = 3x2 + 9x - 5 at the point (-2, -11). 7) Use implicit differentiation to find dy/dx.cos xy + x4 = y4 Pleas i want answer this Questions (1 -7) Analytical Geometry & Calculus
10.Suppose that x and y are related by the equation 5x 2−4y 2=2 and use implicit differentiation to determine dydx. dydx= ?
1) Find dy/dx by implicit differentiation: e^ysinx = x + xy
6-16 Find dy/dx by implicit differentiation and isolate dy/dx: 16. xy = sqrt{x^2+y^2}
Find dy/dx at (-4,1) if xy=(8y/(x+2)). dy/dx at (-4,1) =?
FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM ( 1. y = Arctan√3x−4/4 2. y = 2 Arccos ( 1 -x/2) + √4x − x2 3. y = ln (x3(x−1)/(x−2)^2) 4. y =e^3x−e^−3x/e^3x+e^−3x 5. x =t/t−1, y =t2/t2−1
show derivatives of : a. y = ex^3+5x3 b. y = ln(2x4+2)3

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