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

Q: Find the points on the curve y = x4- 6x2 + 4 where the tangent line is horizontal.

A: y=x4-6x2+4 Differentiating with respect to x, we get dydx=4x3-62x+0=4x3-12x Now the tangent line is…

Q: Find an equation of the tangent line at the point indicated. y = π5x- 2 , x = 1

A: To find the equation of tangent to the given curve we need to find the point where the tangent is to…

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

A:

Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

A:

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

A:

Q: Find the slope of the tangent line to the curve 2x + 2xy + 2y = 32 %3D at the point (-4, 2).

A:

Q: Find an equation of the tangent line to the curve x2y² – 2x = 9-y at the point (-2, 1)

A:

Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

A:

Q: Calculate the equation of the tangent line to the curve r2 +ry+3r+2y-1 = 1 at the point (0, 1).

A:

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 x² - xy - 2y³ 116 at the point (-2, 4).

A:

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

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

Q: Find the slope of the tangent line to the curve x² + 3xy + 3y³ = − 101 at the point (4, -3).

A:

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

A:

Q: What is the slope of the tangent line to the curve 3x^3y^2−2y^3=−4 at the point (1,2)

A: To find the slope of the tangent line we need y' 3x3y2−2y3=−49x2y2+3x3(2y)y' - 6y2y'=0 [product…

Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

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,…

A:

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

A:

Q: Find the slope of the tangent line to the curve 4x2 3xy 2y 168 - at the point (2, 4).

A:

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 slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

A:

Q: Determine the slope of the tangent line to the graph of x2 + 4y2 = 4 at the point (√2, −1/√2).

A:

Q: . Find an equation of the tangent line to the curve y = sqrt ( 3 +x2  ) that is parallel to the line…

A:

Q: Find all points on the curve y = x3 + 2x2 -6x +5 where is the tangent is parallel to the line 2x + y…

A: The given curve y=x3+2x2-6x+5

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 -2x^2-3xy-3y^3 = -246 at the point ` ( 3,4 )`.

A:

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 slope of the tangent line to the curve 4x – 4xy + 1y = 23 at the point (- 3, – 1).

A:

Q: Find the slope of the tangent line to the curve 4x^2-3xy+1y^3=26 at the point (3,2). Slope =

A:

Q: Find the equation of the tangent line to 4x2 +y2= 8 at (1,2)

A:

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

A:

Q: Find all points on the curve y = x³ + 2x² - 6x + 5 where the tangent is parallel to the line 2x + y…

A:

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

A:

Q: Find an equation of the tangent line to the curve x^(2/3)+y^(2/3)=13 at the point (−27,−8).

A: Given:

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

A:

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

A:

Q: Find the equation of the tangent line to the curve at the point (1,-3) x^2 +2xy-4y^3=103

A: Given :-  curve x2+2xy-4y3=103  To find :-  Equation of tangent line passing through (1,-3) to Given…

Q: Find the slope of the tangent line to the curve - 322 + 2xy – 3y° - 88 at the point (– 4, 2).

A: The given curve -3x2+2xy-3y3=-88 at the point (-4,2)

Q: Find the equation of the tangent line to the curve y=x4 -14x2+17x+40 and perpendicular to the line x…

A: The equation of given curve is   y=x4-14x2+17x+40  On differentiating with respect to x, we get…

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

A:

Q: Find the slope of the tangent to the curve y=3+ 4x 2  -2x3    at the point where x=a

A: Given: y=3+4x2-2x3 The slope of the tangent to the curve at the point x=a is the derivative of…

Q: Find the slope of the tangent line to the curve y = x²+4x+7 at the point (1, ). 7x+2

A: We can find the slope to the tangent to the curve at the given point as below.

Q: Find the slope of the tangent line to the curve - 2x2 + 4ry – 3y - 63 at the point (3, 3).

A:

Q: Find the slope of the tangent line to 3x*y-6y 2 at (1,2)

A: Given : 3x2y2 - 6y = 2

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

A:

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

A: