Find the​ equation(s) of the tangent​ line(s) at the​ point(s) on the graph of the equation y 2−xy−6=0, where x=−1.   The​ y-values for which x=−1 are ?

Q: Find the equation of the tangent and normal line of the function y^3 +3xy + x^4 = 5 at the point (1,…

A: y3+3xy+x4=5 Differentiating with respect to x, we get…

Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

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Q: Find an equation of the tangent line to the curve  2(x2+y2)2 = 25(x2-y2) (a lemniscate) at the the…

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Q: 2. Find the slope of the tangent line to the curve y = 4x² – 2 at x= 1. What is the equation of the…

A: The given curve is y=4x2-2. At x=1, y=412-2=2. Thus, the graph is passing through 1, 2. The slope of…

Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

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

Q: 12. Determine the y-intercept of a line with a slope of -2 that is a tangent to the curve: y =…

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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: 15. Find the equation of the curve whose slope at any point is equal to -(y +1)/(x + 1) and which…

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Q: Find the equation of the curve whose slope at any point (x, y) is given and which passes through the…

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Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

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Q: 4) Find the slope of the tangent line to the curve 4 y = 3(х3 — 2х2 + 3х — 5) at the point (2,) Give…

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Q: 2. At what point is -3 the slope of the tangent line to the curve y x+3x -7.

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Q: find an equation of the Tangen line to the graph of y = e^-x^2 at the point  (2, 1/e^4)

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Q: 10. Find the slope-intercept form of the equation of the line tangent to the graph of y arctan(9x)…

A: Given y = arc tan9xand x=39here we find the slope - intercept form of the equation of the line…

Q: 1) Find the slope of the tangent lines on the curve y = 6x + 24x -39x - 43 at points | (-5,2) and…

A: Slope of line is given by m = dy/dx = tan θ y = 6x3 + 24x2 - 39x - 43  Differentiating with respect…

Q: Find the equation of the tangent line to the graph of x2y2+ 2xy = 24 at the point (-3, 2).

A: givenx2y2+ 2xy = 24      and point (-3,2)diffentiate this equation for calculating slope of tangent…

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: 1. Find an equation of the tangent line to the curve y = 2x3 – 5 at the point (-1,3).

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: What is the slope of the tangent line to the graph of y= x*- 3x2 + x+ 2 at x-2? What is the…

A: Given: The graph of y = x4 – 3x2 + x + 2.

Q: find the equation of the line tangent to the curve y=x^4-4x^3+2x^2-4x+15 and perpendicular to the…

A: To find the line tangent of the curve we have to differentiate with respect to x. If first-line…

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

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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: 2) Find the equation of the curve whose slope at any point p(x,y) is m =x (x +5)² and passing…

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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: Find the equation of the tangent to the curve y = 2x2 - 5x + 3, where x = 2.

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Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

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Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

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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: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

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Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

A: This problem is related to application of derivatives.

Q: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

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

A: To find the slope of the tangent line to the curve, y=4x, at the point 9, 49.The  equation of this…

Q: 9. Find an equation of the line tangent to the curve y = 2x - 7x2 + 10 at the point (3, 1). y = 12

A: Given that, the curve is y = 2x2 - 7x2 + 10  To find the tangent line to curve at point (3,1)   To…

Q: The equation of the tangent to the curve y = x – 3x² – 2x + 2 at the point where the curve cuts the…

A: We have to find  the equation of tangent in the form of y=mx+c.

Q: If the curve is defined by y= x⁴ - 8x³ + 22x²-24x+9, then what are the value/s of x for which the…

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Q: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

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Q: 4. Find the equation of a curve whose slope at any point is equal to x + + and which passes through…

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

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Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

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