2.1 Exercises Can you explain the steps to solving this problem? (9) (a) Find the slope of the tangent line to the curve y=3 + 4x^2 - 2x^3 at the point where x = a (b) Find equations of the tangent lines at the points (1, 5) and (2, 3) (c) Graph the curve and both tangents on a common screen.

Q: 8. Estimate the slope of the tangent line to the curve y = -2x at x=-4, and then use it to find the…

A: Given curve is y=-2x3 To find the slope of tangent at x=-4. Solution: Differentiating the given…

Q: 4 at the point 9, is: The slope of the tangent line to the curve y The equation of this tangent line…

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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 y = (2? - 8)' at point (5, 2). y =

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find an equation for the tangent line to the curve at the given point. f(x) = -3el*, (0,-3) Show…

A: equation of the tangent = ?

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7,  (2, 27) y…

A: In

Q: Find the equation for the tangent line of the graph of 4 y = x² at (-2, 16). Equation:

A: Here we have to find the equation of the tangent line of the graph y=x4 at (-2, 16)

Q: 4. What is the slope when you illustrate tangent line to the graph of the equation y 2x2 – 3x + 5 at…

A:

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Topic:- derivatives

Q: Find the equation of the line tangent to the given curve with the given slope. y=x^2-7x, with…

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Q: Find an equation of the tangent line to the curve at the point (3, 7). y= x-1/x-2 +5

A: We can make it easier for you

Q: 4) Determine an equation for the tangent to the graph of the curve y = (6x - 3)(-x? + 2) when x = 1.…

A: Note: To draw the tangent of a curve at a given point, first we have to find out the slope of the…

Q: 6. Find the tangent line and normal line to curve y = x3 - 3x2 - 2 at point (1, -4)?

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: Find the equation for the tangent line of the graph of y = x² at (-4, 16). Equation:

A: The given equation is; y=x2 at (-4,16)

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 3,  (2, 15)

A:

Q: Find an equation of the tangent line to the curve y = 9" at the point (2, 81) . Tangent line: y =

A:

Q: 7. Find the equation of the tangent line to the curve y = - 1-3x at x =-1 using calculus and…

A: Given curve is y=21-3x At x=-1, y=21-3·-1=21+3=24=12 So, the point is -1,12

Q: Find the slope of the tangent line to the curve y2+x2 = y4-2x at point (-2,1)

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Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: Find the equation of tangent line at the specified point  x ²/³ - y ²/³- y =1 ;(1, -1)

A: Given curve is x23-y23-y=1. To find the equation of tangent line at the point 1,-1. Solution: First…

Q: Find an equation of the tangent line to the curve at the given point. у - 9х - бух, (1, 3) y =…

A: Find your answer below

Q: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

A:

Q: Find the equation of the tangent line to the curve y = x2 at the point (-2, 4). Sketch the graph of…

A: The slope of tangent to a curve at a point a,b is given as, mtangent=dydxa,b The equation of line…

Q: 9. at the point (-2,1) Find the equation of the line tangent to y = 2x2 + 1

A: We will find the equation of the line tangent in the following step.

Q: Find the equation of the tangent and normal to the curve

A: (1)y = x4-2x2+4Equation of tangent  - y = m1x+cwhere, m1=slope of the tangent = dydxDifferentiating…

Q: 4. at the point 8, The slope of the tangent line to the curve y is: - The equation of this tangent…

A:

Q: The slope of the tangent line to the curve y = 3x° at the point (-5, –375) is: slope = The equation…

A: topic - equation of tangent line to curve

Q: 11. What is the slope of the tangent line to the curve y = 3x2 - 5 at point (-1,-2)? а. -5 b. -6…

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Q: x2/3 - y2/3 -y=1 ;(1, -1)

A: firstly we find the slope(m) by differentiate w.r.t. x  and then put the slope in equation of tanget…

Q: 16. Determine the horizontal tangents on the curve y = 2x'-18x.

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

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

A: We have to find equation of tangent line

Q: The equation of the tangent line to the curve: y + 5 = 2x at x = 5.

A:

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

A: Given equation of curve is y=x2-x-2. To find the equation of the tangent line to the given curve at…

Q: Find an equation of the tangent line to the curve y = 9"| at the point (2, 81). Tangent line: y

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Q: Find the equation of the tangent to the graph y=x√(x-1) at (5,10).

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Q: Find the slope of tangent line for the equation x^2+y^2=5 on (1,2)

A: The given equation of the line is,

Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 8x + 1, (5, 11) y =…

A: To find: The equation of tangent to the curve y=2x2-8x+1 at 5,11. Given: The equation of curve is…

Q: The slope of the tangent line to the parabola y 3x + 3x +7 at the point (- 5, 67) is: The equation…

A: Take the derivative and put the given point.

Q: Find the equation of the tangent line to the curve y = x *sqrt(x2 + 5) at the point (2,6

A:

Q: Find the slope and equation of the tangent line to the curve y = x3 + 2x + 1 at ( 2,4)

A: Our Aim is to find the slope and equation of the tangent line to the curvey=x3+2x+1 at (2,4) -(i)

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve flx) = 2x² + 3x. %3D

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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 slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: ind an equation of the tangent line to the curve at the point (3, 4).  y=(x-1/x-2)+2

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Q: What’s the equation of the tangent line to the curve y = 5ln(x^3 - 7) at the point (2,0)

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Q: The equation of the tangent line to the curve X2+y2=169 at the point (5,-12) is

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Q: Find an equation of the tangent line to the graph of the equation x + y - e* - Y = 9 at the point…

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Q: Find the slope and equation of the tangent line to the curve y = x2 – 4x + 5 at (2,-3)

A: Given curve is : y = x2-4x+5 We have to find slope and equation of tangent line to given curve at…

Q: Find the slope of the tangent line to the curve defined by 3x^3 - 7xy - 7y^6 = -1599 at the point…

A: