The product of all the values of x for which the tangent lines to the graph of y= are parallel to the line 5x-16y + 1 = 0 is x+5

Q: 8. Find all points on the graph of y = (x + 3)² at which the tangent line is parallel to the line…

A: The given graph is y = (x +3)2 To find the points on the graph at which tangent is parallel to the…

Q: The slope of the tangent line to the graph of the function y = 7V-3 at (9, 18) is

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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: Determine the slope of the tangent line to the curve (;² – 2x – 8) 2 -9 R(x) = at the point where…

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Q: Find the points on the graph of y = 1– 5x + 3x² where that tangent line is parallel to the line y –…

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Q: 4. At what point on the graph of y =x2 is the tangent line parallel to the line 2x – 4y = 3?

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Q: what would the equation of the tangent line to the graph of y=(4x^4-3x-1)/(3-x^2) be at x=1

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Q: Find equations for the tangent lines to the graph at the given points. 7ху + x %3D 8, (1, 1) and (8,…

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Q: Find (a) the equation of the secant line through the points where x has the given values, and (b)…

A: Given f(x)=3x2-5x+7, x=2, x=4

Q: 8. Find the slope-intercept equation of the tangent line to f(x) = 3x² – 4x + 5 at the point (1, 4).…

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Q: What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

A: We have to find the slope of the tangent line to the graph of x2 - xy + 3y2 - 2x + 4y = 17 at (5, 1)…

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 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 equations of the tangent lines to the curve х — 1 x + 1 that are parallel to the line x – 2y =…

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Q: Find the equation of the tangent line to the graph of x^2 * y^2 + 6xy =1512 at the point (-7,6)

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Q: The slope of the tangent line of the graph of the equation xy2-3x² - 2y=-3 at the point (1, 2) is a)…

A: The given equation is xy2-3x2-2y=-3. The objective is to calculate the slope of the tangent line of…

Q: Find the equation of the tangent line to the graph of x3 -xlny+y3=2x+5 at the point where x=2

A: x3 -xlny+y3=2x+5 To find out the equation of tangent line , we need to find out slope  Slope is the…

Q: Find the equation of the tangent line to the graph ofx^2 * y^2 + 3xy =18 at the point (-2, 3)

A: The given curve is: x2+y2+3xy=18 Differentiating both sides of the equation with respect to 'x', we…

Q: 2 Find the slope of the tangent line to у 3 at X = 1 3 - х

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Q: Show that no point on the graph of x 2 - 3xy + y 2 = 1 has a horizontal tangent line.

A: Given  x 2 - 3xy + y 2 = 1

Q: Find the exact value of the slope of the tangent line to the graph of −2x2−3xy+3y3=13at the point…

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Q: 1) Find the slope of the tangent line to the graph of f(x) = x2 - 3 at the point (2, 1). %3D (8…

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Q: 7. Find the slope of the line tangent to the curve at the point (2,1). x²y + xy² = 3x %3D

A: 7. The equation is given by x2y+xy2 = 3x                                                ......(1)…

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have vertical tangent line.

A: This question is taken from the tangent and line in which we have to all points on the graph that…

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

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

Q: The tangent line to the curve y = 1/3x^3−3x^2+9x+12 is parallel to the line 8x−2y=3 at two…

A: given: the tangent line to the curve y=13x3-3x2+9x+12 is parallel to the line 8x-2y=3 at two points…

Q: Find all points on the curve y = x³ + 2x² - 6x + 5 where the tangent is parallel to the line 2x + y…

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Q: Find the exact value of the slope of the tangent line to the graph of 3x2+xy−3y3=1 at the point…

A: The slope of the tangent to a curve y=fx at a point x1,y1 is defined by the formula, Slope of the…

Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: 7. Find the slope of the tangent line to the graph at (1,1): x2y? - 9x2-4y2 = 0 x-9-4-0 (-4, 2/3)…

A: x2y2−9x2−4y2=0 Use implicit differentiation to find the slope of x2y2−9x2−4y2=0 Implicit…

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 graph of  y = x(x + 2)4 at the point (2, 512).

A: The tangent is given by dydx So, In this question we differentiate y with respect to x and then put…

Q: The slope of the tangent line to the curve C at the point (1, 2) is (A) 4 (B -2 c) 2 D -4

A: Solving the problem by finding the slope of the tangent.

Q: Find an equation of the tangent line to the graph of y = 2x² + 3 that is parallel to the line 8x - y…

A:

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 the equation of the tangent line to the graph of x^2y-xy^4=-1830 at (3,5)

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Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

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: What is the slope of the tangent line that touches the graph of In(y) + eA-=3y-4x at the point 3. 5

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Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the…

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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 of x² +2y² = 3 at (1, -1).

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Q: At what point (x,y) is the tangent line to the curve y=2x2-5x+8 parallel to the line y=3x-7

A: It is given that

Q: Find the exact value of the slope of the tangent line to the graph of −3x2+xy+4y3=102at the point…

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Q: Find the equation of the tangent line to y=(3x+4)3 at the point where x= -2

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: Find an equation of the tangent line at the given point. 2x1/2 + 4y −1/2 = xy, (1, 4)

A: Given,