A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of the slope of the secant line through the point  B. Find the equation of the tangent line to the curve at (2, -4)

Q: find y' and the slope of the tangent line to the graph of  (3x - 2y)^7 = 2y^2 - 9 at the point…

A: The given equation is- 3x-2y7=2y2-9 Since, y' =dydx is the slope of the tangent line, Then…

Q: [3] If the curve is defined by y = x* – 8x3 + 22x2-24x+9, then what are the value/s of x for which…

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

A: Given, y=4x-3x2Point=2, -4

Q: Find an equation of the tangent line to the curve at the given point. y = 3x2 - 12x + 1, (5, 16)

A: Solve by eq

Q: Find the equation of the tangent line to the graph of y = 2x +- at the point (1,5).

A: We have given

Q: Find an equation of the tangent line to the curve at the given point.y=8x-6x^(2), P(4,-8)

A: y=8x-6x^(2), P(4,-8)Let the equation of the tangent: y=mx+cSlope of the tangent =m =  dy/dx.

Q: Find an equation of the tangent line to the curve at the given point. y = 5x/(x+4),    (1, 1)

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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 an equation of the tangent line to the curve at the given point y = 4x2 – x, (1, 3)

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Q: Find an equation of the tangent line to the curve at a given point . y = x^4+ 5x^2 -x , (1, 7)

A: We have given a curve y.  We have to find the equation of the tangent line to the curve at point (1,…

Q: Find the equation of the tangent line to the curve y= (x-3)°(x+2) at the point (4,36).

A: Given,  The curve   y = x-38x+22   We have to find the equation of the tangent line to the curve at…

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

A: The given equation of the curve is y= x3- 3x +1. We have to find the tangent line to the curve y=…

Q: Find an equation of the tangent line to the graph of the equation at the given point. y = 9-x2; P…

A: Solve for the equation of the tangent line

Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

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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: 17. Given the curve y = 3x³ – 4x² +7, find the slope of the tangent line at the point when x= 3.

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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: 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 an equation of the tangent line to the graph of Y = e2x-3 at the point (3/2,1).

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Q: Find an equation of the tangent line to the graph of y = 2x/x2+1 at the origin and at the point…

A: use differentiation for finding the slope and then use slope intercept form for finding the tangent…

Q: Find y′and the slope of the tangent line to the graph of ​(2x-5y) 5=4y2 -3 at the point ​(3​,1​).

A: Find y′and the slope of the tangent line to the graph of ​(2x-5y) 5=4y2 -3 at the point ​(3​,1​).…

Q: 3. Find the equation of the tangent line to the graph of x y + 7xy = 30 at the point (-5, 2). %3|

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Q: Find the slope of the tangent line to the graph at the given point. (4 - x)y? = x3, (2, 2) Cissoid:

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Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

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 the equation of the tangent line to the curve at the given point. y = /2x +1, (4, 3)

A: To find the slope, we find dy/dx at (4, 3) At (4, 3):

Q: 7. Find the slope of the tangent line of the graph of 2ry+ y? = 3.x² – 4 at the point (-1, 1).

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

A: Given ex2-y=x2y To find equation of tangent at the point 4,16

Q: 1 Find the two points on the curve y=- at which the tangents have as slope of -.

A: Given,            The curve y=1x at which the tangents have as slope of -12.To find : The two points…

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

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Q: What is the slope of the tangent line that touches the graph of In y + e2z-1 = 3y – 4x at the point…

A: Given that: lny+e2x-1=y-4x

Q: Find an equation of the tangent line to the curve at the given point y = x³ – 3x + 1, (2,3)

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Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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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 =…

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Q: Find an equation of the tangent line to the curve y =√x at the given point (4,2).

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Q: What is the slope of the tangent line that touches the graph of In(y)+e2x-=3y – 4x at the point (A 1…

A: The solution are next step

Q: Find an equation of the tangent line to the curve at the given point. y = 3x - 14x + 1, (5, 6)

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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: a) Find the slope of the tangent to the curve y = 3+ 4x2 – 2x³ at the point where x = a.

A: We are suppose to solve the problem by application of derivative.   NOTE :: As per our guidelines we…

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

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y 8, (2, 1) Witch of…

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Q: Find an equation of the tangent line to the graph at the given point.

A: Given: 3 x2+y22 = 100 x2 - y2  and the point (4, 2) To find: An equation of the tangent line to the…

Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangent…

A: To find the x-intercept we plug y=0

Q: find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x2y,   (1,1)

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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 all points (x, y) on the graph of y with tangent lines perpendicular to the line y = 4x - 5. (x…

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Q: 2. Find the slope of the tangent line to the curve y? + yx² + x² – 3y? = 0 at the point (0, 3).

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Q: Find an equation of the tangent line to the curve at the given point. f(x) = 7x2 - x³, (1, 6) y =

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Q: Find the equation of the tangent line to the curve y = x + 2xi through the point ( 8, 12 ).

A: