Find the points on the curve y = 2x3 + 3x? – 12x + 9 where the tangent line is horizontal. (x, y) = (x, y) =

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 an equation of the tangent line to the curve 2(z² + y°)² = 25(æ² – y³) (a lemniscate) at the…

A:

Q: The cubic y = ax3 + bx? + cx + d tangent to the line y = 12x + 13 at (-1, 1) and have a horizontal…

A: Solution...

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

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: 4 Find all the points on the curve x2 + xy + y? = 3 where the tangent to the curve is a vertical…

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 points on the curve y = 2x3 + 3x² – 12x + 7 where the tangent line is horizontal.

A: Given,          The points on the curve y=2x3+3x2-12x+7 where the tangent           line is…

Q: Find the equation of the tangent line to the curve y2=6x-3 perpendicular to the line x+3y=7

A:

Q: At what point on the curve y = V-8 + 2x is the tangent line perpendicular to the line 8x + 4y = 1?

A:

Q: Find the equation of the tangent line to the curve y²(y² – 4) = x² (x² – 5) at the point (0, –2). |

A: Equation of tangent line is given by:y-y1=dydxx=x1·(x-x1)      .............[1]So first find dydx at…

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 point (xo, yo) on the graph of y = x' + 9x² + 6x – 3, at which the slope of the tangent…

A:

Q: Find the point on the curve y=x√x for which the tangent line to the curve is perpendicular to the…

A:

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

A:

Q: (b) Find the equation of the tangent line to the curve 8x²y3 – 5x? + 7y³ = 10(x – 3y), at the point…

A:

Q: Find equations of the tangent lines to the curve 2y² + xy – 3x² 8 at the point or points where x =…

A: The curve 2y2+xy-3x2=8 at the point where x=0

Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

A:

Q: Find the points on the curve y = 2x' + 3x² – 12x + 1 where the tangent is horizontal. -

A: As per the instruction, we will be answering the first question. For (51), Given: y=2x3+3x2-12x+1.…

Q: Find the​ x-coordinates of all points on the curve y = (-x^2+4x−3)^3 with a horizontal tangent…

A: We know the slope of the tangent where it is horizontal is 0. we will need to find the derivative of…

Q: Find an equation of the tangent line to the curve x2+y+y2=13 at the point (-1,3)

A:

Q: Find the point (xo, yo) on the graph of y = x + 3x² + 4x – 5, at which the slope of the tangent line…

A:

Q: Find the equation of the tangent line to the curve x2 + 4y2 = 8 and parallel to the line x+2y=8.

A: Given curve is x2+4y2=8. To find equation of tangent line to the given curve which is parallel to…

Q: ind the slope of the tangent line to the curve y = V4x – 3 at the point (13, 7).

A:

Q: (b) Find the points on the curve y = 2x3 – 3x2 – 12x + 20 where the tangent is parallel to the…

A:

Q: Find the equation of the tangent line to the graph ofx^2 * y^2 + 3xy =18 at the point (-2, 3)

A: The given curve is: x2+y2+3xy=18 Differentiating both sides of the equation with respect to 'x', we…

Q: the equation of the tange

A: Given that: The equation of the curve x2 + 4y2 = 8. The equation of the line x + 2y = 8.

Q: Find the equation of the tangent line to the curve 2y? + xy = 5 – 2x², at the point (1;1).

A:

Q: Calculate the equation of the tangent line to the curve 2r³ + xy +3x+ y = 2 at the point (0, 2).

A: To find the equation of a tangent line to the given curve at point (0,2).

Q: Find the point (xo, yo) on the graph of y = x³ + 3x? + 8x – 3, at which the slope of the tangent…

A: To find the slope of the function we need y'y=x3+3x2+8x-3y'=3x2+6x+8

Q: 4. Find the equation to the tangent line to the curve -3 %3D at the point (x, y) = (1,2).

A:

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 3 where the tangent line is horizontal. (x, v) =…

A: Solve the following

Q: Find a point on the curve y=x2−2x−3 at which the tangent is parallel to the x−axis.

A:

Q: The tangent line to the curve y = 1/3x^3−3x^2+9x+12 is parallel to the line 8x−2y=3 at two…

A: given: the tangent line to the curve y=13x3-3x2+9x+12 is parallel to the line 8x-2y=3 at two points…

Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

A:

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

A: By using equation of tangent line formula, we find the required tangent line.

Q: The equation of the tangent line to the curve x² + y² = 64, at (9,-14) is

A:

Q: At what point is the tangent line to the curve y = 6x² perpendicular to the line x + 2y – 8 = 0?…

A: Follow next step

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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

Q: At what point is the tangent line to the curve y³ : = 6x² perpendicular to the line 2x + y = 2 = 0?…

A:

Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: The slope of the tangent to the curve yx + y²x² -6 at (2,1) is

A:

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: Which is the equation of the tangent line to the curve x* +xy = 4 + y at the point (4,6)?

A:

Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal. a)…

A:

Q: . Determine the points where the curve 6x+ 4y-y=6 has a vertical tangent line. p. Does the curve…

A:

Q: Find

A:

Q: Find the point (xo, yo) on the graph of y = x' + 9x² + 7x – 5, at which the slope of the tangent…

A: