Solve using Implicit Differentiation showing all steps: a.) xy^2-y^2=6 b.) x^2 − 2xcosy + y^2 =...

Solve using Implicit Differentiation showing all steps:

a.) xy^2-y^2=6

b.) x^2 − 2xcosy + y^2 = 3

c.) x = x + y/2y − x

d.) x^2 + 4cos(xy) − y^2 = 8

Thank you!

Expert Solution

milcah answered 2 years ago

√xy+2x=√y . Use implicit differentiation to find y’.

Find dy/dx by implicit differentiation. 11. ycosx=x^2+y^2 13. sqrt(x+y)=x^4+y^4 15. tan(x/y)=x+y 17. sqrt(xy)=1+(x^2)*(y) 19. sin(xy) =...

Find dy/dx by implicit differentiation. 11. ycosx=x^2+y^2 13. sqrt(x+y)=x^4+y^4 15. tan(x/y)=x+y 17. sqrt(xy)=1+(x^2)*(y) 19. sin(xy) = cos(x+y)

-Use implicit differentiation to find dy/dx where x2y2 + x cos(y) = 6 -Use logarithmic differentiation...

-Use implicit differentiation to find dy/dx where x2y2 + x cos(y) = 6 -Use logarithmic differentiation to find the derivative of o(x) = (cos(x))ln(x) -Find the first and second derivatives of p(x) = 6 ln(x2+3x) -A balloon is rising vertically at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a speed of 15 ft/sec. When he passes under the balloon, it is 45 ft above him.How fast is the distance between the boy...

solve using series solutions (x^+1)y''+xy'-y=0

Find dy/dx by implicit differentiation: cos(x+y)=y^3 sin x

a) Solve the Cauchy-Euler equation: x^2y'' - xy' + y = x^3 b) Solve the initial-value...

a) Solve the Cauchy-Euler equation: x^2y'' - xy' + y = x^3 b) Solve the initial-value problem: y'' + y = sec^3(x); y(0) = 1, y'(0) =1/2

Use implicit differentiation to find ∂z/∂x and ∂z/∂y. e4z = xyz

Use implicit differentiation to find ∂z/∂x and ∂z/∂y if xz = cos (y + z).

solve xy''-xy'+y=0 (using center series solution)

Find dy/dx by implicit differentiation. 3x^6+x^5y−2xy^6=8

part 1) Find dy/dx by implicit differentiation. 3x^6+x^5y−2xy^6=8 dy/dx= part 4) A campground owner has 2000 meters of fencing. She wants to enclose a rectangular field bordering a lake, with no fencing needed along the lake: see the sketch. a) Write an expression for the length of the field: 2000-x (this is correct) b) Find the area of the field (length times width): -x^2+2000x (this is correct) c) Find the value of x leading to the maximum area: d)...

Question