Discuss two applications of derivatives to something other than tangent lines and velocities

Q: Find the equation of the tangent line to the graph of y?- x+1=0, at the point (2,-1). %3D

A: Here we havw to find the equation of the tangent line to the graph y2-x+1=0 at the point (2, -1)

Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13

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Q: Find an equation of the tangent line to the graph of the equation  x + y − ex − y = 3 at the point…

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Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

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Q: b. Sketch the tangent line to the curve at (-1, V2). Do you think your calculation in the previous…

A: derive formula:

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 5x)°, (0, 1) %|

A: Given equation of curve: Point (0, 1)

Q: y = x^2+ 1, find an equation of the tangent line to the graph of y at x = 3.

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Q: The slope of the tangent line to the curve y = 4 at the point ( 3, 4 is: 6. The equation of this…

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

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Q: 2. At what point is -3 the slope of the tangent line to the curve y x+3x -7.

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2),…

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Q: 6. Find the equation of the tangent line to the curve r* - a*y" = 12 at the point (-2, 1).

A: the equation of the tangent ( x0, y0 ) to the curve y=f(x) is    y – y0 = f ′(x0)(x – x0)

Q: Find an equation of the tangent line to the curve at the given point. y = 9e* + x, (0, 9) y =

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Q: find an equation of the tangent line f(x)=x+(6/x)    points (x,y)= (-6,-7)

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

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Q: 1. Find an equation of the tangent line to the curve y = 2x3 – 5 at the point (-1,3).

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: _1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6…

A: Using Derivatives & Application of derivatives

Q: Find an equation of the tangent line to the curve atthe given point.

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

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Q: Find the equation of the tangent line to the curve y = 2 + 3 cos x if the tangent line is parallel…

A: We have to find the tangent line to the curve .

Q: (15) Find an equation of the tangent line to the curve, xy3 − y = x2 + 5, at the point (1,2).

A: Find the slope

Q: 3. (10) Find the equation of tangent line in slope-intercept form to the curve y-r'y+-3=0 that…

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Q: 12. What is the equation of the tangent line to the curve y = x² – 2x + 1 at point (3,4)? a. у%3D 2х…

A: Since the student has mentioned to solve question numbers (12) and (13), but we can solve only one…

Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: (3) Find an equation of the tangent line to the curve y = 2x² + 3 that is parallel to the line %3D…

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Q: Find the equations of the tangent lines at the point where the curve crosses itself. x = 3 - 6t y =…

A: The given curve is: x=t3-6ty=t2

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

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Q: 1. Explain why there are no tangents to the curve y = with negative slope. (Explain by 2x+1 4x+3…

A: Given: y=2x+14x+3 To explain: Why there is no tangents to the given curve.

Q: 5. Find the equation of the tangent line to the curve at the given point 4 X X+3 (1,1) %3D

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Q: 12. (a) Use the definition of derivative to find the slope of the tangent line to the curve f(x) =…

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Q: 2 u, v) (7,5) 315

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Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x – x°, (1, 2)

A: Given that y = 1+ 2x - x3

Q: Find the equation of the tangent line to the curve y = ex at 0, 1+8 ex What is the equation of the…

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Q: 4. If f (2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

A: We have to find the equation of tangent.

Q: (e) Discuss the method to find the points of inflexion of a curve without using higher order…

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Q: Find the equation of the tangent to the curve y=2(e^x) at the point (0,2).

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Q: 6. Determine the equation of the line tangent to y = x+ tan r at the point (7, 7).

A: As per the company policy i can answer only first question for you, More than that leads me towards…

Q: Find an equation of the tangent line to the given curve at the specified point: (4) 2 y = x + 1 ' 5

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Q: 2. Find the equation of the tangent line to the curve f (x) at the x+1 point (2,5). Write equation…

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

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution…

Q: How do you find the equation of the tangent line of the given value of x.

A: Calculation:Compute the value of f(x) at x = 4 as follows.f(4) = 2 − √4f(4) = 0.Now differentiate…

Q: Find the equation of the tangent line to the graph of y(z): Equation of the tangent line is y…

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Q: 3 - at the point (3, 1) is: The slope of the tangent line to the curve y The equation of this…

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Q: Find the equation of the tangent line at (2,2) on the curve x² + xy + y² = 3

A: Topic = Derivative

Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…

Q: Find the equation of the tangent line to the curve y=xlnx that is parallel to the line Y=1+3x.

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Q: Find the equation of the line tangent to the graph of y = 3e" at r = 4. Tangent Line: y

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