Find an equation of the tangent to the curve x+ Vy = 3 at point (4, 1). [Hint: Use implicit differentiation and express y' in terms of x and y.]

Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x- 3) + xvy = 3; x=3…

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Q: 1. Find the equation of the tangent line to x2- 3xy +y2 = -1 at (2,1).

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

Q: Find the equation of the tangent line to the curve y = √-4 at the point (5,1). Oy=-1 Oy=-1 Oy=2x-2

A: Given y=x-4       point (5,1)To find equation of tangent line:

Q: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: Find equation of the tangent line to the curve y = v2x + 1 at the point (4,3).

A: Given:    y = √(2x+1)  Point (4,3)

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 3xy + xy:…

A: Given function3xy3+xy=26differentiate wih respective…

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: 4. x-y = 2 at (2, 2)

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Q: Find the equation of the tangent line to f(x) =1 – x² at (1,0). -

A: here we use formula  y-y1=m(x-x1) at point (1,0)

Q: Use implicit differentiation to find the equation of the tangent line for y+ xy = 6 at the point…

A: The objective is to find the equation of tangent line  at the point (1, 4).

Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: Find an equation of the tangent line at the given point.…

A: The given function is,x2+sin y=xy2+1 , (1,0)

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: First find the derivative at given point then write the equation of tangent line in slope point…

Q: Find an equation of the tangent line to the graph of the function                    y = sinh(1 −…

A: Given curve:

Q: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: Find the equation of the tangent line to the curve y = ex/x + ex at (0, 1).

A: Given that curve  y = exx+ex at (0, 1). The slope of tangent any point on the curve is given by its…

Q: Find the equation of tangent line to the curve f(x) = 2 – dt 1+t at the point x = 1.

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Q: Find the equation of the tangent line to the curve y sin(2x) = x cos(2y) at the point (5,).

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Q: Find the slope of the tangent line to the curve y3 + yx2 + x2 − 3y2 = 0 at the point P(0, 3) by…

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Q: Find an equation of the tangent line to the curve y Inx" – x² at the point where x = 1.

A: The given curve is y=lnxx-x2 at the point where x=1. Find the equation of tangent.

Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

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Q: Q4 Use implicit differentiation to find an equation of the tangent line to the following curve at…

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

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Q: Find an equation of the tangent line to ln(2x-y+1) + cos(xy-2)=1 at the point (1,2)

A: Given:

Q: 2. Use the implicit differentiation to find an equation of the tangent line to the curve at the…

A: Given curve ,yesinx=xcosyNow using implicit differentiation , we…

Q: Find the slope of the tangent to the curve y= 2 sin'x at x-

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Q: Determine the equation of the tangent line to the curve x- 2xy = 2y² +1 at the point (1:0).

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Q: Find the equation of the tangent line to the curve y=x4 at the point (−1,1).

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: Given equation of curve is (x2+y2-y)2=x2+y2 Differentiate both sides with respect to x.…

Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y = 192x*; x=1

A: Given eqn : 3y3+xy-y=192x4  ,  x=1 So when x =1 3y3+xy-y=192x4=3y3+y-y=192= y3 = 64= y = 4 Now find…

Q: find the derivative of the funciton y=xe^(5x)

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Q: Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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Q: Find the equation of tangent line to the curve at the given point x2 + 2xy - y2 + x = 2 (1, 2)

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Q: 2x2 y = Зх — 1

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Q: Find the equation of the tangent line to the curve y = 2x - x2 at (2, 0).

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: Find an equation of the tangent line to x2 +xy – y³ = 7 at the point (3,2). (You must use implicit…

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Q: Find the equation of the tangent line to the graph of f(x)= x ln(2x+3) at the point (-1,0).

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Q: 4. Use implicit differentiation to find the equation of the tangent line of the following functions…

A: To find the equation of the tangent line of the function 2x2-3y-3=2y4 at 2,1

Q: Find the equation of the tangent line at the point (1,0) to the curve implicitly defined by In(x +…

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Q: Find the equation of the tangent line to the curve f(x) = x³ln (x + 1) at the point (0, 0).

A: The given curve is: f(x)=x3 ln(x+1)

Q: Use implicit differentiation to show that the equation of the tangent line to the curve y²=kx at…

A: Given : y2=kx Therefore, y=k.x  .............................(1) Now, put (x0,y0) in the above…

Q: . Find the equation of the tangent line to the curve y =1 – 2x + x² at (1, 2).

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Q: Find an equation of the tangent line to y = f(x) arctan(x) at = V3. x =

A: We have to find equation of tangent line

Q: Find the equation of the tangent line to the curve y = 2 In(x³ – 26) at the point (3, 0). y =

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Q: Find the equation of the tangent line at the given value of x on the curve. 4y +xy-y 32x*; x=1 y=

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Q: Calculate the equation of the tangent line to the curve x^2+xy+3x+2y-1=1 at the point (0,1)

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Q: Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the…

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