Find the slope of the tangent line to the curve – 4x - 422 3ry + 4y° = 14 - at the point (- 3, 2).

Q: Find an equation of the tangent line to the curve y = 2x +3 that is parallel to the line 8x y+3 = 0.

A: Find an equation of tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (x + y ²)² = 25 (x² – y²) at the…

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Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Find the slope of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: We have to Find the slope of the tangent line to the curve   y = x3 + 3x - 8 at (2, 6).   We have…

Q: Find the slope of the tangent line to the curve - 2x2 + læy+ 3y = - 83 at the point (- 2, – 3).

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Q: Find the slope of the tangent line to the curve - 3æ² ³ = - 199 3x? + lœy+ 3y at the point (1, – 4).

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Q: Find the slope of the tangent line at the point P = (1, 1) on the graph of              ex-y = 2x2 -…

A: Given,          ex-y = 2x2- y2    at   P=(1, 1)

Q: Find the slope of the tangent line to the curve. √(3x + y) + √(2xy) = √7 + √4 at the point (2,1).

A: Given: 3x+y+2xy=7+4 we know that slopem of tangent at point2,1 is given by m=dydx|2,1 so, finding…

Q: Find the slope of the tangent line to the curve x² - xy - 2y³ 116 at the point (-2, 4).

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Q: Find the slope of the tangent line to the curve 4x + 4cy- 4y° 276 at the point (- 1,4).

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Q: Find the slope of the tangent line to the curve – 2a2 + xy + 4y³ = - 6 3 at the point (- 2, 1).

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Q: Find the equation of the tangent line  x2y-y3 + 6x= 8  at the (3, -2)

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Q: Find the equation of the tangent line.

A: Consider the given equation of curve:

Q: Find the equation of the tangent line at the given point on the curve 3x+3y2 -9yY 10,3) 2-327x/10,…

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Q: Find an equation of the line tangent to the curve defined by " + 5xy +y = 68 point (2, 2) at the

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Q: Find the tangent line at (-1,3) to the curve y* - 2xy – 27 =0

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Q: find the slope of the tangent line to the curve X2-4X3y2=-2 at the point (1,1)

A: The given curve is,

Q: Find the equation of the tangent line to x + y = 9 %3D at the point (2, v5)

A: Equation of tangent to any curve y = f(x) at a given point ( x1, y1 ) is given by           ( y - y1…

Q: Find the slope of the tangent line to the curve 2.2 2xy - 3y = 89 at the point (1, 3).

A: Given curve,

Q: Find the equation of line tangent of y=x4-2x2+1 at (2,9)

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Q: Find an equation of the tangent line to the curve at thegiven point. y= 4x  - 3x2 ,    (2 ,-4)

A: we have to find an equation of the tangent line to the curve y=4x-3x2 at the point (2-4). as we know…

Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 1y - 38 at the point (1, – 3). -

A: Where we use the concept of implicit differentiation then we evaluate the differentiation at the…

Q: Find the slope of the tangent line to the curve 4.x + ry - 4y = 72 at the point (-4, - 1).

A: Given that: Curve is :   4x2+xy-4y3=72 at point (-4, -1)

Q: Find the slope of the tangent line to the curve defined by 9x^2+7xy-4y^3=432 at the point (-9,3).

A: We have given the curve Here, the equation has to be differentiated implicitly.

Q: Find the slope of the tangent line to the curve V3x+y+v2ry = Vi+v4 at the point (2, 1). The slope is

A: To find the slope we need dy/dx

Q: Find the slope of the tangent line to the curve -2x^2-3xy-3y^3 = -246 at the point ` ( 3,4 )`.

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Q: Find the points on the curve y = 2x3 - 3x2 - 12x + 20 where the tangent line is parallel to the…

A: Given: y = 2x3-3x2-12x+20 Tangent line is parallel to x - axis. To find: The points on the given…

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

A: Given : y= x √(x²+5)  To find tangent line equation, we need to find differentiation of this…

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 slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

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Q: Find the equation in terms of x and y of the tangent line to the curve r= 4sin 5θ and θ =π/3.

A: Given: r=4sin5θ  and θ=π3

Q: Find the slope of the tangent line to the curve - 2x2 + 2xy – 4y³ = 0 at the point (1, – 1). -

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Q: Find the slope of the tangent line to the curve -3x2 +3xy- 4y = - 247 %3D at the point (1, 4).

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Q: Find the tangent line at (-1,3) to the curve y* – 2x*y' - 27=0.

A: Given, The equation of the curve    y4 -2x2y3 -27 = 0  We have to find the  tangent line at -1, 3 .…

Q: Find the slope of the tangent line to the curve − 3x² + 2xy − 4y³ at the point (4, 1). - 44

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Q: Find the x-coordinate of the point/s on the curve y = 2x – 3x² – 12x + 20 where the tangent line is…

A: The slope of the tangent line to the curve at point P(x,y) is given by,…

Q: Find the slope of the tangent line to the curve 2x2 + 4xy- 2y = 142 - at the point (– 1, – 4).

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Q: Find the equation of the tangent line to the curve y = 4x − 3x 2 at the point (2, -4)

A: The equation of the curve is y = 4x − 3x2 The coordinates of the point of contact is 2, -4

Q: calculate the slope of the tangent line to the curve 3x3y2-2y3=-4 at the point (1,2)

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Q: Find the slope of the tangent line to the curve y 3x-8x + 7 at the point (-1,2). -3 3. -4 4

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Q: Find the equation of the tangent line to the curve CULUE yt + In (x²+y) = 5x -1 point (2,-3) at the

A: Given: y2+lnx2+y=5x-1 for finding equation of tangent, we need to find slopem of the tangent we know…

Q: Determine the slope of the tangent line to the curve (x² + y² – 2x)² = 2(x² + y²) at (2, 2).

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

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Q: Find the slope of the tangent line to the curve - 4x² - 2xy + 3y³ = | at the point (3, 1). - 33

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Q: Find the tangent line at (-1,3) to the curve y* – 2x²y' – 27=0.

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Q: What is the slope of the tangent line to the curve 3y- 2-6-2xy at the point (3, 2)?

A: Given,           3y2-2x2=6-2xy     To find slope, let's differentiate. wrt.x           3.2y…

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 tangent line at (-1,3) to the curve y-2x'y-27 0.

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

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