Find the equation(s) of any vertical tangent lines of 4x3 – 4y = y*

Q: What is the slope of the tangent line to the graph of x-xy-4y2 +2x +4y 8 at (4, -2)?

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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 an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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Q: What is the slope of the tangent line to the graph of X- xy-4y+2x +4y 8 at (4, -2)?

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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: 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 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: At what point on the curve  y = 6 + 2ex − 3x  is the tangent line parallel to the line  3x − y =…

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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 an equation of the tangent line to the curve y= (1+2x)^10  , (0,1)

A: First find the derivative of the curve at given point than write the slope intercept form of…

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

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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 to the curve  8x2y3-5x2+7y3 = 10(x-3y) , at point (2,-2)

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Q: Find the equation of the tangent line to y=5x2  at x=0

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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 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 an equation of the tangent line at the point indicated. x3y + y3x = 10; (1,2)

A: Given query is to find the equation of the tangent line at (1,2).

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

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

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Q: Find the equation of the tangent line to the curve y = (5 – 3x)² at z = –5.

A: To find the equation of the tangent line to the below curve at x = -5. y=5−3x2

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 an equation of the tangent line to the curve y = √ (3 + x2)that is parallel to the line x- 2y…

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Q: Find the equation of the tangent line to the curve y = 8/x2 + x + 2 at x = 2.

A: Given, y=8x2+x+2,  at x=2 slope of curve at x=2 is dydx dydxx=2=-82x+1x2+x+22dydx=-4064=-5/8 at x=2,…

Q: Find point(s) on the curve y = x3 – 5x2 + 6x + 1 where the tangent line is horizontal.

A: Find the points where the tangent is horizontal

Q: What is the equation of the tangent line to the curve x? + 2y² = 4 at point (1, 1)?

A: Find your answer below

Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 6 + 3x. y…

A: The given question has been solved in detail

Q: Find an equation of the tangent line to the curve  y = xsqrtx  that is parallel to the line  y = 6 +…

A: Given data: *The equation of the curve is y=x×x *The tangent line is parallel to the curve y=6+3x…

Q: Find the equation of the tangent line to the curve y=2x2-1 at x=2

A: .

Q: Find the equation of the tangent line to y = 20-5æ+3 at x = 4. y =

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

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

A: To obtain the points where the tangent line is going to be horizontal to the curve, we need to find…

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)

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

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Q: Find the slope of the tangent line to the curve 1x² − 2xy + 1y³ = 13 at the point (4,3).

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Q: Find the slope of the tangent line to the curve 2x² 4xy + 4y³ = 10 at the point ( − 1, 1).

A: SOLUTION-

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

A:

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

A: Application of differential

Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

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Q: Find an equation of the tangent line to the curve x2/3 + y2/3 point (1,8). 5 at the

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

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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…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: