Use the Difference Quotient to evaluate the slope of the tangent line to the first parabola found in question 1a at point (5,7)

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: Determine the slope of the tangent to the graph of y = 4 X Paragu at the point (1, 4).

A: Questions from application of derivatives.

Q: Find the equation of the tangent line to the parabola at the given point. x2 = 2y, (-5, ) 2у, %3D

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Q: Determine the slope of the tangent to the curve y = at the point (3,9).

A: We can find the slope as below.

Q: How do you find the equation of the tangent line to the parabola for y = x2 − 3x − 1 at x = 4.

A: The equation of the given parabola is y=x2-3x-1. We have to find the equation of the tangent line to…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

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Q: Find the equation of the family of curves at every point of which the tangent line has a slope of…

A: We have to find the equation of the family of curves at every point of which the  tangent line has a…

Q: find the slope of the tangent line to the graph of flx)= 2x at (5,3).

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the line, take the…

Q: Find the slope of the tangent line to the ellipse 1 at the point 25 slope =

A: Here the equation of ellipse is x29+y225=1 and the point is (m,n)We have to find the equation of…

Q: Find the slope of the tangent line at the point P = (1, 1) on the graph of              ex-y = 2x2 -…

A: Given,          ex-y = 2x2- y2    at   P=(1, 1)

Q: Find the equation for the tangent line of the graph of 4 y = x² at (-2, 16). Equation:

A: Here we have to find the equation of the tangent line of the graph y=x4 at (-2, 16)

Q: Find the slope of the tangent line at the indicated point for: y = 2 at the point (1,2).

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Q: Find an equation of the tangent line at the point specified. y = excos2 x, x = π/4

A: Given curve is y=excos2x. To find the equation of the tangent line at the point x=π4. Solution: The…

Q: Find the equation of the tangent line at the given point on curve.

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Q: Find the equation of the tangent line to the curve y = IVa at the point (16, 64). %3D y =

A: The standard form of the tangent line helps to find the required equation of the line. The standard…

Q: Find the equation of the tangent line to the curve at the given point. y = 9x - 8Vx, (1, 1) %3D

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Q: The slope of the tangent line to the parabola y 2x + 3x +6 at the point (1, 11) is: The equation of…

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Q: Suppose a curve is defined by the equati on y2 = x*(2- x). What is the equation of the line tangent…

A: Given curve

Q: Find an equation of the tangent line to the curve y 9tanx at the point %3D

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Q: Find an equation of the tangent line to the parabola y=x2+x such that it passes through the point…

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Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: Find the slope of the tangent line to the graph at the given point. (4 - x)y? = x3, (2, 2) Cissoid:

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Q: Find the equation of the tangent line to the curve y = rVI at the point (4, 8). %3D

A: We have to find the equation of tangent

Q: The slope of the tangent line to the curve y at the point ( 5, is: The equation of this tangent line…

A: Given curve is : y=3x To find the slope of tangent at the point 5,35 and equation of tangent in the…

Q: Find the equation of the tangent line of funclion y= ²+1 23 -2 at (40,- 73)

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Q: Find the slope of the tangent to a parabola y=x^3 at a point on the curve where x=2

A: Consider the following equation:

Q: Find an equation for the tangent line to the curve n = 4- 2 at (-1,3).

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Q: Find the points on the graph of y = ex where the tangent line has slope 4.

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Q: Find an equation of the tangent line to the curve atthe given point.y =sqrt ( 1 + x 3 ),…

A: Given, y=1+x3 , (2,3)

Q: Find the slope of the tangent line to the curve -3x2 +3xy- 4y = - 247 %3D at the point (1, 4).

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Q: find the x-coordinates of the point on the curve y=2x^3-3x^2-36x-1 where the tangent is horizontal.…

A: For finding tangent is horizontal take slope 0

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: find the equation of a tangent line for y=arcsin(x/8) at the point (4,π/6)

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

A: The equation of the curve is y = 4x − 3x2 The coordinates of the point of contact is 2, -4

Q: Find the equation of the tangent line at the given point on the curve. 3y-x = 8, (16,2) %3D

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Q: Show that the tangent line to the curve at y = 3x²+ 6x− 5 the point (−1. −8) is horizontal.

A: To show: That the tangent line to the curve at y=3x2+6x−5 the point -1,-8 is horizontal. Concept…

Q: Can someone please help me find an equation of the tangent line to the curve at the given point.…

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Q: 5. Find the point on the parabola y=-x+3x+4 where the slope of the tangent line is 5.

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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 an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

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Q: Find the slope of the tangent to a parabola y=x^3 at a point on the curve where x=1/2

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Q: Find the equation of the tangent line to the curve y = (1 + 2x)² at the point (4, 81). ソ=

A: First find the slope of the tangent line with the help of derivative of the given curve than write…

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: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

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Q: Find an equation of the tangent line to the graph of y = arcsin(2x) at the point 2/2 4

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Q: Find the slope of the tangent line to the curve given by y^4 = y^2 - x^2 at the point (0,1)

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Q: At what point of the parabola y=x -3x+5 is the tangent line parallel to the line 3x-y 2?

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Q: The slope of the tangent line to the curve y = 4 X at the point 5, is: The equation of this tangent…

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Q: Find the equation of the tangent line to the curve y = x + 2xi through the point ( 8, 12 ).

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Q: Find an equation of the tangent plane to the surface at the given point. z = 8 - -x (3, -2, 2)

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