Where on the curve y = (100 + x?)- does the tangent line have the greatest slope? NOTE: Enter the exact answer. (x, y) = | (?,?)

Q: The slope of the tangent line to the curve y=4/x at the point (9,49) is:

A: To Determine: Slope of the tangent line to the curve at the point (9 , 49). Given curve is:…

Q: Find the equation of the tangent line to the graph of y?- x+1=0, at the point (2,-1). %3D

A: Here we havw to find the equation of the tangent line to the graph y2-x+1=0 at the point (2, -1)

Q: Slope of a tangent line at t1 = 6.0 and y = at?

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Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

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

A: Slope of tangent line =dydx(4-x)y2=x3differentiating w.r.t 'x'y2d(4-x)dx+(4-x)dy2dx =…

Q: Find the slope of the tangent line to the curve 3a? – 4xy – ly3 = - 84 at the point (2, 4).

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Q: Does any tangent line to the curve y = 2x cross the x-axis at x = -1? If so, find an equation for…

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Q: Find an equation of the tangent line to the curve at the given point. 2 y = x + -, x (2,3)

A: Given,          The curve is y=x+2x and the point is 2,3.

Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

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Q: Where on the curve y = (49 + x?)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: What is the slope of the tangent line to the curve xy +y– 1=0 at the point (0, 1)? -1 -3 -2 1

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Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: 3. What is the equation of the tangent line to the curve x3 + x² = y which is parallel to the line…

A: Given the equation of the curve y=x3+x2 and the tangent line is parallel to 3y+x-5=0

Q: At how many different values of x does the curve y = x +2x have a tangent line parallel to the line…

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

Q: Find the slope intercept equation of the tangent line to the graph of y = Vx-1 at x2+1 the point…

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Q: -1 Where on the curve y = (256+ x²)¯* does the tangent line have the greatest slope? NOTE: Enter the…

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Q: At how many different values of x does the curve y =x+ 2x have a tangent line parallel to the line…

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Q: Where on the interval [0, 4] does ƒ(x) = 4x - x2 have a horizontal tangent line?

A: Determine the value for derivative of f(x) i.e f'(x). fx=4x−x2f'x=ddx4x−x2=ddx4x−ddxx2=4×ddxx−2xSo,…

Q: Where on the curve y = (169 + x²)¯* does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:   Curve y=169+x2-1             y=1169+x2 At the inflection points, the tangent to the curve…

Q: at what point is the tangent line y3=2x2 perpendicular to the line x-y-1=0? P=(?,?)

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Q: What is the slope of the tangent line to the graph of y=x^4-3x^2+x+2 at x=-1? [a] What is the…

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Q: Can you please help me out

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Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). and to verify…

Q: Find the tangent line to the curve y = 2x - x? at (2,0)

A: We can find the required answer as below

Q: Find the slope of the tangent line to the curve V6x + 5y + V8xy = 20 at the point (9, 2). The slope…

A: Please refer the attached image for complete solution.

Q: Find the equation of the tangent line to the curve y=(x-2) (x+1)? at point (3, 16).

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Q: At which points on the curve y 1+60x - 2x does the tangent line have the largest slope? (x, y) =…

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Q: -1 Where on the curve y = (196 + x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

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Q: If fx)=- has a tangent equation y/3-x+2 at x = 1, then the slope of the tangent line of f ( x) at…

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Q: 6. What is the slope of the tangent line to the inflection point of the curve y = x3 – 4x2 - 3x – 6?

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0

A: We have to find tangent line to y , first we will find  value of y at x=0.

Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Give an equation for the tangent line to the graph of y = k(x) at the point when x = 2.

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Q: How many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)? At which points do…

A: The tangent lines to the curve y=xx+1 passes through the point (1, 2)

Q: A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the…

A: Let the point of contact is (h,ln(h)) We find the slope of the tangent using dy/dx

Q: Find the slope of the tangent line to the curve y=Xarcc sin x at the point 2, Ta

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Q: Where on the curve y = (121+ x²) * does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Find an equation of the tangent line to the curve y=5^x at the point (1,5) . Tangent line y =

A: We will find the equation of the tangent line to the curve y=5^x at point (1,5) in the following…

Q: A Find the slope of the tangent line to ya fix) = 1+x+x2 at X=a. %3D

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Q: At what point on the curve y = sinh x does the tangent line have a slope of 1?

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Q: At what point of the curve y = cosh x does the tangent line have slope 9? O a. (in(/7), /82) O…

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Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: Find an equation of the tangent line to the curve at the given point.y = x4 + 5x2 − x, (1, 5)y=

A: Equation of the curve: y = x4 + 5x2 − xSLope of the curve = dy / dx

Q: -1 Where on the curve Y (1+ x2)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:- y = (1+x2)-1 To find:- Point where tangent line on given have greatest slope

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

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Q: Find an equation for the tangent line to the curve + xy - y = 1 at the point (2, 3). %3D

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Q: Find an equation of the tangent line to the curve at the given point. y = x* + 8x2 – x, (1, 8) y =

A: Given: y=x4+8x2-xPoint (1,8)