Section 2.3 For what values of x is the tangent line of the graph of flx) = 6x3+36x?+53x parallel to the line y=1-x? Uee the defin- ition of a derivative.

Q: Find the equation of the tangent line to the parabola at the given point. x2 = 2y, (-5, ) 2у, %3D

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 81x2…

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Q: Find an equation of the tangent line to the graph at the given point. x^2y^2-9x^2-4y^2=0, 4,2sqrt3

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Q: Find an equation of the tangent line to the curve at the given point. у 3 + 5x2 — х, (1, 5)

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Q: Find an equation of the tangent line to the graph of the equation at the given point : g(x) = x³ +…

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Q: Find the slope of the tangent line to the curve cos(За — Зу) — ае -37/2 2 at the point (37/2, 27).

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

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Q: In Exercises 31-34, find the slope of the tangent line to the graph of the given function at the…

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Q: Find the equation of the tangent line to the curve: y? – x³ = 1 at point (2, -3) %3D

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 – x2 + 2, (2, 22) y =

A: Given curve and points are: y=3x3-x2+2  , 2,22

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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Q: 19-34 Use the guidelines of Section 4.5 to sketch the curve. 31. y- sin"(1/x)

A: In the question we have to draw curve of the given function.

Q: リ= 3x3-x2+6

A: Given query is to find the equation of the tangent.

Q: Find the equation of the tangent line to the curve at the given point. (4,3) y= square root of 2x +…

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Q: The slope of the tangent line at any point (X, y) on a curve is If the point (9, 3) is on the curve,…

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Q: Find the equation of the tangent line at the given point on curve.

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Q: 6. 2.5 6.5 Determine if a tangent line is shown in

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the…

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Q: Write an equation for the tangent line to g(x) at x = 2 if g(2) = 7 and g' (2) =-3.

A: g(2)=7 and g'(2)=-3 , we have to find tangent line

Q: Write the equation of the tangent line of the given equation through the point * y = x3 – 3x2 + 2 at…

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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: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

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Q: Write the equation of the tangent line to the curve = 2 at the point (1,1). .3

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Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then…

A: Given query is to find the equation of the tangent at given point.

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

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Q: The slope of the tangent line to a curve is given by f ' ( x ) = x 2 - 11x + 4 . If the point ( 0 ,…

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Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: Find the equation of the tangent line to the graph of 3

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, –2)

A: Equation of tangent line of a curve y=f(x) at P(a,b) is given by, y-b=dydx(a,b)(x-a) Implicit…

Q: 4) Find a formula for the line tangent to the curve at the point (4,4).

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Q: Find equations of the two tangent lines to the graph of f(x) = x- that pass through the point (-1,…

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Q: Find an equation of the tangent line to the curve at the given point. x + 4 (4, -8) x - 5

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Q: Find an equation of the tangent line to the curve at the given point. у %3 4х — Зx?, (2, —4)

A: The objectives to find the equation of tangent line to the curve at the given point.

Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent…

Q: Find the equation of the tangent line at the given point on each curve. x2 + y2 = 25; (-3, 4)

A: Find the equation of the tangent line at the given point on each curve. x2+y2=25  ;   (-3,4)

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

A: The curve y = 4x2 – x3, we have to find the equation of the tangent line to the curve at the point…

Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

Q: Find an equation of the tangent line to the curve at the given point y = 2x3 - x2 + 5, (2, 17) y =

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Q: Find an equation of the tangent line to the graph at the given point. x2y2 − 9x2 − 4y2 = 0,…

A: Given that, x2y2 - 9x2 - 4y2 = 0 Points are :  (-4, 23) We have to find the tangant line to the…

Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 6x + 1, (4, 9) y =

A: First find slope at given value then equation of tangent line

Q: Find the equation of the tangent line at the given point on the following curve. 3 3 In (x+y)=x y" +…

A: The given equation is  ln(x+y)=x3y3+ln(x2+2)-8, (1,2).

Q: Find an equation of the tangent line to the curve at the given point. у %3 бех + х, (0, 6)

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Q: Find equations of the two tangent lines to the graph of f(x) = x that pass through the point (-1,…

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Q: Find the equation of the tangent line at the given point on each curve.: x2y3 = 8; (-1, 2)

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x³x² + 2, (1, 3) y = 6x²…

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