-1 Where on the curve Y (1+ x2)¯ does the tangent line have the greatest slope? NOTE: Enter the exact answer. (x, y) =| (?, ?)

Q: 3. Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: Given  function

Q: 2. Find the slope of the tangent line to the curve y = x3 – 2x + 1 at x = 1.

A: As we know that: The first derivative of the function at a point is equal to the slope of the…

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

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

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

Q: 3) Find an equation for the tangent line to the graph at the specified value of x. y=x²V5-x² ,x=1

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Q: #36 Find the equation of the tangent line to the graph of X²(x²+y²) = y? at

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Q: 8) Find the slope of the tangent line to the graph at the given point. (x² – y³)² = 4x²y - 3x -…

A: Consider the equation and the point

Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x-…

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Q: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

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Q: The slope of the line tangent to the graph of y = In(x²) at x = e² is %3D

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Q: Find the slope of the tangent line to the graph of xy^2 + x^2 + y^2 = 9 at the point (0,3)

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Q: Find an equation of the tangent line to the curve at a given point . y = x^4+ 5x^2 -x , (1, 7)

A: We have given a curve y.  We have to find the equation of the tangent line to the curve at point (1,…

Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x-3.

A: The graph of y=xx-4 with tangent line perpendicular to the line y=4x-3

Q: Find an equation for the tangent line to the graph of y – 3xy + x2 +1 = 0 at the point (2, 1).

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Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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Q: Find the slope of the tangent line to the graph at the given point.

A: Slope:  The slope of a line measures the steepness of the line. The slope is calculated by rise over…

Q: 6. Find the equation of the tangent line to the curve r* - a*y" = 12 at the point (-2, 1).

A: the equation of the tangent ( x0, y0 ) to the curve y=f(x) is    y – y0 = f ′(x0)(x – x0)

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: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

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Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

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 slope of the tangent line to the curve defined by 4x + xy – y = 1760 at the point (8, –4).…

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Q: Find the slope of the tangent line on the curve y = x3 - 2x2 – x at x = -2. -6 O -19 O 19 O 6

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Q: 1. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = x2 + x - 1 AT (-2, 1). %3D

A: As per our guidelines, we are providing the solution of question number 1 only. Please repost the…

Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

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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: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1, 1)

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Q: 1) Find the slope of the tangent line to the graph of f(x) = x2 - 3 at the point (2, 1). %3D (8…

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Q: (a) Find the slope of the curve at point P and write the equation of tangent line at point P. 2x2…

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Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

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: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1,1)

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

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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: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

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Q: 2) Find the equation of the tangent line in slope intercept form to the curve x² + 4xy + y2 = 13 at…

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Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,…

Q: Find the slope of the line tangent to the curve y = cos2 x at the point(−π/3 , 1/4)

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Q: find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x2y,   (1,1)

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Q: Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1 What…

A: equation of tangent is y=4x-5 therefore equation of curve whose tangent is y=4x-5 ,…

Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: 2. Find the slope of the tangent line to the curve y? + yx² + x² – 3y? = 0 at the point (0, 3).

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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)

Q: Find an equation of the tangent line to the curve at the given point. y = In(x² - 3xt 1), (3, 0) y…

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Q: The equation of the tangent line to the curve y=x² +1 at x = -4

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Q: 5 7. Find the slope of the tangent line to the graph of y = x² at the point where x = –

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Q: The slope of the tangent line to the graph of xy = In(x² + y² ) at the point (1,0) is :Select one…

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Q: Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the…

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