The graph of 3 (x+y) = 25 (x -y²), shown in the figure, is a lemniscate of Bernoulli. Find the equation of the tangent line at the point (2,1). y=

Q: The graph of y = xln x has one horizontal tangent line. Find an equation for it.

A: Given: y=xlnx We know that if a functiony=fx have horizontal tangent line then slopem of tangent is…

Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

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Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 9,  (2, 29)

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Q: Please find equations for the lines tangent to the graph of f at the point where x = a.  f(x) = 2x3…

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Q: Find the equation of the tangent line to the graph of f (x) = x² – 3 at the point (3, 6). Answer y =

A: Find the equation  of the tangent  line to  the graph  offx=x2-3   at the point  3,6Answer:We  have…

Q: The curve y = f (x) passes through the point A(1; 2). Each tangent at any point M(x,y) on the curve…

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Q: Find all points (x, y) on the graph of y = x2 −6 with tangent lines passing through the point (3,…

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Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: Find an equation of the line tangent to the graph of 3x G(x) = 4e ³x at the point (0,4).

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Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

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Q: Find an equation for the line that is tangent to the curve y = 5x - 5x at the point (1,0). The…

A: Our Aim is to find an equation for the line that is tangent to the curve y=5x3-5xat the point (1,0).…