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

Q: Find the equation of the tangent line to the curve y = 2 + 4x – x^3 at the point P(-1, -1).

A: To find the equation of the tangent line to the curve, y=2+4x-x3, at the point -1, -1.

Q: Find an equation of the tangent line to the curve y=2x^2+3 that is parallel to the line 8x-y+3=0

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Q: Find the equation of the tangent line to the curve y = 3x2 + 2x +7 at the y intercept.

A: Given: y = 3x2+ 2x+7

Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: Find the slope of the tangent line to the curve - 3æ² ³ = - 199 3x? + lœy+ 3y at the point (1, – 4).

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Q: Find the slope of the tangent line to the curve 2x + 2xy + 2y = 32 %3D at the point (-4, 2).

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Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

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Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

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Q: Find the equation of the line normal to the tangent at the point (1,2) x’y+xy² = 6. on the curve

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Q: Find the equation of the tangent line to the curve at its point of inflection. y+x^3+3x^2+2

A: The given equation is y=x3+3x2+2. Compute the point of inflection by equating y''=0 as follows.…

Q: The slope of the tangent line to the curve y=-4e 2xcos(-8x) at xw0 is

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Q: Find an equation for the line perpendicular to the tangent line to the curve y = x3 - 4x + 1 at the…

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Q: Find the slope of the tangent line to the curve – 2a2 + xy + 4y³ = - 6 3 at the point (- 2, 1).

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Q: Is there a formula to do this? What is the process?

A: Given curve is: First, find the slope of tangent line:

Q: Find an equation of the line tangent to the curve defined by x + 3xy+ y = 5 at the point (1, 1).

A: Given  Curve ia x3 + 3xy + y2 =5 at the point(1,1) Find equation of tangent.

Q: Find the equation of the tangent line to the curve y=5x²-1 at x= -1. Y=15x + 9 Y=15x-6 O y= x-6 O…

A: Topic:- application of derivatives

Q: On the same axes, plot the curve y = 1x, the line y = x/8, and the tangent line to y = 1x that is…

A: Given curve is y=x. Let x,y be any point on the curve. Differentiate function with respect to x.…

Q: What is the slope of the tangent line to the graph y = a° – 3x, | at the point (x1, Y1)?

A: Our Aim is to find the slope of the tangent line to the graph y=x3-3x -(i)at the point (x1,y1),

Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y% = 104 at the point (2,…

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Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

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Q: Find the equation of the tangent line to r - 3ry + y =-1 at (2,1).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the tangent line at (-1,3) to the curve y* - 2xy – 27 =0

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Q: Find the equation of the tangent line to x + y = 9 %3D at the point (2, v5)

A: Equation of tangent to any curve y = f(x) at a given point ( x1, y1 ) is given by           ( y - y1…

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…

A: Explanation: Given that,  y=2x3-3x2-10x+1     Concept Used: 1. Slope of the tangent is the first…

Q: Find an equation of the tangent line to the curve x2+y+y2=13 at the point (-1,3)

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Q: Find the equation of the tangent line to the curve y=1-x² that is parallel to the line 2x-4y=8

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Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 1y - 38 at the point (1, – 3). -

A: Where we use the concept of implicit differentiation then we evaluate the differentiation at the…

Q: Find the equation of the tangent line to the curve x2 + 4y2 = 8 and parallel to the line x+2y=8.

A: Given curve is x2+4y2=8. To find equation of tangent line to the given curve which is parallel to…

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: Find an equation of the tangent line to the curve xe + ye = 3 at the point (0, 3)

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Q: Find the equation of the tangent line to the curve 2y? + xy = 5 – 2x², at the point (1;1).

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Q: Find the equation of the tangent of the curve y=x^3+(3x)^(-1) at point (1,4)

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Q: Find the slope of the tangent line to the curve 4x – 4xy + 1y = 23 at the point (- 3, – 1).

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Q: Find equation of the tangent line to the curve at the following point.

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the…

Q: The equation of the tangent line to the curve x² + y² = 64, at (9,-14) is

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Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y = 104 at the point (2, 2).…

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Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

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Q: Find the equation of the tangent to the curve y=x²-x -2 at the point (1, -2).

A: We have to find the equation of the tangent to the curve y=x2-x-2 at the point (1,-2).

Q: Find the equation of the tangent line to the curve y=2x2-1 at x=2

A: .

Q: Find the equation of the tangent line to the curve at the point (1,-3) x^2 +2xy-4y^3=103

A: Given :-  curve x2+2xy-4y3=103  To find :-  Equation of tangent line passing through (1,-3) to Given…

Q: The slope of the tangent to the curve yx + y²x² -6 at (2,1) is

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Q: Find the equation of the tangent line to the curve y=x4 -14x2+17x+40 and perpendicular to the line x…

A: The equation of given curve is   y=x4-14x2+17x+40  On differentiating with respect to x, we get…

Q: Find an equation of the tangent line to the curve at the following point. y=(1-2x)^10 , (0,1)

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Q: find the equation of the tangent lines to the curve y=2/(1-3X) at the points with x-coordinates 0…

A: Find the y- values for the given values of x.

Q: Find the slope of the tangent to the curve y=3+ 4x 2  -2x3    at the point where x=a

A: Given: y=3+4x2-2x3 The slope of the tangent to the curve at the point x=a is the derivative of…

Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: Find an equation of the tangent line to the curve at the given point. y = V3 - 33x, (-1,6) y =

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Q: Find the equation of the tangent line to the curve y = + 6x at its point of intersection with the…

A: The tangent of any given function is the line that touches the curve of the function at only one…

Q: Find an equation of the tangent line to the curve y=3ex that is parallel to x-4y=1.

A: Given:Equation of a curve

Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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