Find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2,    (4, 58)

Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

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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 curve that passes through the point (1, 3), and has the given slope y′ =…

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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: Find equations for two lines that are both tangent to the curve y = x³ – 3x² + 3x – 3 and parallel…

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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

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Q: Find an equation for the line perpendicular to the tangent to the curve y = x°- 16x + 6 at the point…

A: Given: y=x3-16x+6, 4,6 we know that equation of line which perpendicular to tangent at given point…

Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

Q: Find an equation of the line that is tangent to the graph of y = /1+x³ at the where r = 2. Write the…

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Q: Find an equation of the line tangent to the curve defined by x2 + 6xy + y 32 at the point (2, 2).…

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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 to the curve  y = -5x2 + 6x +7 at the point (1/2 , 35/4)

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Q: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

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

A: Given data:     The expression for the equation of the curve is: (x-2)2=-4(y+3). The given point is:…

Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: We have to find an equation of the tangent line to the curve at the given point.…

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 tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

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 an equation of the tangent line to the parabola y − x2 - 8x + 9 at the point (3, -6).

A: The derivative of a curve at a point gives the slope of the tangent to the curve. It can be…

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 an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 3,  (2, 15)

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Q: Find the equation of the curve that passes through the point (0, 2) and has a slope of at any point…

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Q: Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).

A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: Find an equation of the tangent line to the parabola y=x2  -8x+9 at the point (3, -6)

A: Given :          y= x2-8x+9

Q: find the slope of the curve at the given points (x2 + y2)2 = (x - y)2 at (1, 0) and (1, -1)

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Q: Find the slope of the curve at the given point: 1. ( X+2y)^2 =x+10 at (-1, 2)

A: Here I am attaching image so that you understand each and every step. slope of the curve given at…

Q: Find the slope of the curve at the point (2,3) * x³ 2x + 1 3/2 1 O 1/2 O 1/4

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Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the…

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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 curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

Q: Find an equation of the curve that passes through the point (0, 6) and whOse slope at (X, y) is X/y.

A: Given that: Slope of the curve at (x, y)=xy

Q: Find the equation of the tangent line to the curve y = x2 – 5 if the tangent line is parallel to the…

A: y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

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Q: how do you find the equation of the tangent line at the given point on each curve? x2+ y2=25 ,…

A: To determine the equation of the tangent line, the slope of the curve at the given point is to be…

Q: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

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Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

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Q: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

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

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: Find equations of both lines that are tangent to the curve y = x3 - 3x2 + 3x - 3 and are parallel to…

A: The given curve is represented by y = x3 - 3x2 + 3x - 3 and are parallel to the line 3x - y =…

Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…

Q: Find equations of both lines that are tangent to the curve y=x3 -3x2+3x-3 and are parallel to the…

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.

Q: Find the equation of the line that is tangent to the graph of y= x^3 +4/x^2 at point (2,9)

A: The equation of tangent line to y=f(x) at (x0,y0) is y-y0=f'(x0)(x-x0)