Find an equation of the tangent line to the curve at the given point.   xy + x^2y^2 = 20, (4,1) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y=f(x) and give the equation in terms of y and x.)

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

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: Section 2.4 Chain Rule Please show & explain all work, thank you.

A: Multiply both sides by x^2.

Q: Find an equation of the tangent line to the curve at the given point. 2 y = x + -, x (2,3)

A: Given,          The curve is y=x+2x and the point is 2,3.

Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Find an equation of the tangent line to the curve at the given point. y = sin(2x) + sin²(2x), (0, 0)

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Q: 2 Find the equation of the tangent line to the curve y =xNx +5 at the point (2,6)

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Q: Find the equation of tangent line at the specified point  x power 2 by 3 - y power 2 by 3 - y =1…

A: Given curve is x23-y23-y=1. To find the equation of tangent line at the point 1,-1. Solution:…

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: the given function is y=2-x. so to find the tangent at a specified point given (-1 , 2 ). it is…

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Q: Find the equation of the tangent line at the given point on curve.

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Q: Find an equation of the tangent line to the curve  y = x sq root of x  that is parallel to the line…

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Q: Find the slope of the tangent line to the curve defined by 4x + xy – y* 1760 at the point (8, –4). e…

A: To find the slope of the tangent line to the given curve at the given point

Q: Write the equation of the tangent line to the curve at the given point. 8xy + y2 − x2 + 38x = 217 at…

A: Equation of the tangent line to the curve   8xy+y2-x2+38x=217..............(1) at (3,4)

Q: Find an equation of the tangent line to the curve y = 5 – 2x – 3x² at (1,0). y =

A: We will find the equation of the tangent line to the curve at the given point as following.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = xsin(x),…

A: We tale ln on both sides then differentiate both sides with respect to x

Q: The slope of the tangent line to the curve y at the point (2, 1) is: The equation of this tangent…

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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 the equation of the tangent line to the curve y = rVI at the point (4, 8). %3D

A: We have to find the equation of tangent

Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions…

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

Q: Find an equation of the tangent line to the curve y=8ln((x^3)-26) at the point (3,0).

A: To determine equation of tangent line at given point.

Q: Find the equation of the tangent line to the curve y = 3x2 – x at the point (1,2). y =

A:

Q: Ax) = (5x* - 3x)(2x° – 7x) en x =

A:

Q: Find the equation of tangent line at the specified point  x ²/³ - y ²/³- y =1 ;(1, -1)

A: Given curve is x23-y23-y=1. To find the equation of tangent line at the point 1,-1. Solution: First…

Q: Find an equation of the tangent line to the curve at the giv y = In(x2 - 3x + 1), (3, 0) y =

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Q: Find the equation of the tangent line on the top graph of ... at the point (3,2)

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Q: Find the slope of the tangent line to the curve 2² – -1 4.xy + 4y: at the point (1, - 1),

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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: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: Find the equation for the tangent line of the graph of y = x² at (-1,1). Equation:

A: The given function y=x2 at (1,1)

Q: Find an equation of the tangent line to the curve at the given point y = 2x3 - x2 + 5, (2, 17) y =

A:

Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x − x³, (1, 2) y…

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Q: find the equation of a tangent line for y=arcsin(x/8) at the point (4,π/6)

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(4x) + sin2(4x), (0, 0)

A: general equation of line is:             y = m(x) + c where, m = slope of line    and, c = constant

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: 4. Find an equation of the tangent line to the curve x – 1 | at the point (3, 2). ||

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 8x + 1, (5, 11) y =…

A: To find: The equation of tangent to the curve y=2x2-8x+1 at 5,11. Given: The equation of curve is…

Q: Find the equation of the tangent line to the curve y = x³ – 4x + 3 at the point (3, 18). Tangent…

A: Answer and explanation is given below...

Q: Find an equation of the tangent line to the curve at the given point. y = 3x2 – x³, (1, 2) y =

A:

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

A: The solution is as follows:

Q: Find the slope of the tangent line to the curve given by y^4 = y^2 - x^2 at the point (0,1)

A:

Q: Find the slope of the tangent line to the curve defined by 6x5 + 8xy +y2 = -13 at (-1,1). The slope…

A: The slope of tangent line to the curve f(x,y)=0 at (a,b) is the value of dy/dx at (a,b)

Q: 3. Find the equation of the tangent line to f(x) = 2x · sin (x) at the point (5, ).

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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: ind an equation of the tangent line to the curve at the point (3, 4).  y=(x-1/x-2)+2

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Q: Find an equation for the tangent line to the curve y = 2/x at the point (2, 1) on this curve.

A: Given, Equation of curve : y=2x      (i) Common point = (2,1)

Q: The slope of the tangent line to the curve y = 4 X at the point 5, is: The equation of this tangent…

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Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…

Q: Find the equation of the tangent line to the curve y = x + 2xi through the point ( 8, 12 ).

A: