Find the point on the parabola y= X- + 4 whose tangent line is parallel with y = 3x -5

Q: Find an equation of the tangent line to the parabola y = x2 -1 at the point (2,3) y 4x-5 Oy - 4x - 9…

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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 to the curve y = x - 3x + 5x that has the least slope.

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Q: Find the line tangent to the curve x + y3 = 4 at the point (3/3, –1).

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Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D…

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

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

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Q: Determine the equation of the tangent line to the curve y = (2x2 - 3x)3 at x = 2.

A: To find the equation of the tangent line

Q: Find the points on the graph of y = 1– 5x + 3x² where that tangent line is parallel to the line y –…

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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 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 3 - 2x² + xy + y² I at the point (4, 1). - 27

A: This question is related to slope of line, we will solve it using given information.

Q: Find the point where the line tangent to y=x* – 3x² +2 at (2, 6) crosses the x – axis.

A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find an equation of the tangent line to the curve atthe given point. y= In (x3 - 7) , (2 ,0)

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Q: Find the equation of the tangent line to the curve y=5x³-1 at x= -1.

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Q: Show that the curve y = 7e* + 3x + 2x³ has no tangent line with slope 2.

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Q: Find the equation of the tangent line.

A: Consider the given equation of curve:

Q: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

Q: Find the equation of the tangent line to the graph of y = 2x - (4 / √x) at the point (4, 6).

A: Given,            y = 2x - 4x and Point is 4, 6

Q: Find the point (xo, Yo) on the graph of y = x³ + 3x² + 5x – 3, at which the slope of the tangent…

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Q: Find an equation of the tangent to the curve f(x) = /x+ 7 that has slope %3D 4

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Q: At what point of the parabola y = x² – 3x – 5 is the tangent line parallel to 3x - y = 3? O (-3,-5)…

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Q: Find the equation of the tangent line to the graph of 3x- xy + y - 9 = 0 at the point (2, -3).

A: The graph of 3x3-x2y+y3-9=0 at the point 2,-3

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: At what point on the curve y = 2x²– 3x – 1 is its tangent parallel to the line y = 5x + 2?

A: Given curve is : y=2x2-3x-1 And the given line is : y=5x+2 We need to find the point on the curve at…

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: At whhat point on the parabola y = x - 3x-5 is the tangent line parallel to 3x-y 2

A: Given y=x2-3x-5 To find the tangent line parallel to 3x-y=2

Q: Find the point (x0, yo) on the graph of y = x + 9x² + 8x – 5, at which the slope of the tangent line…

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Q: Find the point on the parabola y= -X-+4 whose tangent line is parallel with y= 3x-5,

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Q: Find the equation of the tangent line of funclion y= ²+1 23 -2 at (40,- 73)

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Q: Find the slope of the tangent to a parabola y=x^3 at a point on the curve where x=2

A: Consider the following equation:

Q: 6. Find the equation of the tangent line to the parabola y 2.x2 – x + 3 at x = 2. %3D -

A: Equation of given parabola is, y = 2x2 - x + 3

Q: Find the slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

A: Simply take the derivative of the given equation and substitute the given point.

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

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

A: Find the slope of the line y= 1- (x/24)

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 6  where the tangent line is horizontal.

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Q: Find the equation of the tangent line to the curve y= 3x^2 - 2 passing through the point P(-1,1) .

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Q: How can we find the slope of the tangent line to the parabola y = x2 at the point?

A: Consider the following equation of parabola: y=x2 Differentiate y with respect to x: dydx=ddxx2=2x

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

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Q: Find the equation of the line that is tangent to the curve y =-3e* at x = In 2. %3D

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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 3x-8x + 7 at the point (-1,2). -3 3. -4 4

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Q: Find two points on the curve y = x4 – 2x2 x that have a common tangent line.

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Q: Find the equation of the tangent line to 2²-3ry + y² = -1 at (2,1).

A: Application of differential

Q: At what point of the parabola y=x -3x+5 is the tangent line parallel to the line 3x-y 2?

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Q: 5. Find the point on the parabola y=2x-3x+6 where the tangent line is parallel to the line 7x+y=1.

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

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