Witch of Agnesi: (x² + 4)y = 8 y (2, 1) -2 -1 2 -1 3.

Q: find y' and the slope of the tangent line to the graph of  (3x - 2y)^7 = 2y^2 - 9 at the point…

A: The given equation is- 3x-2y7=2y2-9 Since, y' =dydx is the slope of the tangent line, Then…

Q: y = 3x?+1 ; (0,1)

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Q: In the open interval 0, find the point where the slope of the curve y =tanx is 4?

A: in the open interval 0,π2, we have to find the point where the slope of the curve y=tanx is 4. the…

Q: At what points on the graph of ƒ(x) = x3 + 12x2 + 55x + 14 is the slope of the tangent line 7?

A: We have given function fx=x3+12x2+55x+14 Slope of function at any point given by derivative of…

Q: The slope of the tangent line to the graph of the function y = 7V-3 at (9, 18) is

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Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

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Q: If y=1/x, and y1 and use this result to find the points on the curve y=1/x where the tangent line…

A: The given curve is y=1x. Its derivative is given by y'=-1x2. Given that slope of the tangent line at…

Q: For what point on the curve of y=5x^2+9x is the slope of a tangent line equal to -21?

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Q: For the function, find the point(s) on the graph at which the tangent line has slope 9. y = -…

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Q: If y=mx+b is the equation of the tangent line the curve y = x- 3x +5, which is parallel to the…

A: We will solve the problem

Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

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Q: For the function, find the point(s) on the graph at which the tangent line has slope 7. y= - 0.025x2…

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Q: Find the equation of the tangent line to the graph of y = 2x +- at the point (1,5).

A: We have given

Q: Find an equation of the tangent line to the curve at the given point.y=8x-6x^(2), P(4,-8)

A: y=8x-6x^(2), P(4,-8)Let the equation of the tangent: y=mx+cSlope of the tangent =m =  dy/dx.

Q: Find the slope of the tangent line to the graph of y = x2 where x = -.2.

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Q: y = x^2+ 1, find an equation of the tangent line to the graph of y at x = 3.

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Q: Find the slope of the tangent line to the curve - 2.x? + 3xy + y – 118 - at the point (3, – 4).

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Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

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Q: Find the equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: Find the equation of the tangent line to the graph of f(x) = at - 5, - The equation of the tangent…

A: Given:f(x)=2x & point (-5, -25)To determine:Equation of tangent line to the graph of given…

Q: At what points on the graph of ƒ(x) = x3 + 6x2 + 17x + 15 is the slope of the tangent line 5?

A: Given: fx=x3+6x2+17x+15 To Find: The points at which the slope of the tangent line is 5.

Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: Find the slope of the tangent line to the curve - 4a? – læy + 2y³ : - 4x² = - 4 at the point (2, 2).

A: to find the slope differentiate  the y with respect to x.

Q: Find the slope of the tangent line to the curve -x^2+2xy+2y^3=-10 at the point (-4,-1).

A: Slope of tangent line = dy/dx at the point (-4,-1)

Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: Determine the equation of the line tangent to the graph given by y = at the point x +1 (4, }).

A: To find the equation of the line tangent to the graph y=xx+1 at the point 4,25

Q: slope

A: Please refer to the image below

Q: Find the equation of the tangent line to the graph of x^2 * y^2 + 6xy =1512 at the point (-7,6)

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Q: At what point on the curve x = 9t? + 9, y = 3 - 6 does the tangent line have slope

A: Given curves are And

Q: For what point on the curve of y = 3x - 6x is the slope of a tangent line equal to 0? %3D

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Q: at the indicated point, find the slope of the tangent to the curve c(x) = 3x^2 - 5 at (3, 22)

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Q: What is the equation of the tangent line to y=(−5x−8)e^−x at x=0? Write the equation of the tangent…

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Q: For what point on the curve of y = 5x + 6x is the slope of a tangent line equal to - 44? %3! The…

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Q: For what point on the curve of y = 7x + 4x is the slope of a tangent line equal to - 66? The point…

A: y = 7x2  +  4x     ..........................................(1) slope of tangent line = -66 slope…

Q: Given the curve y 2x-x, find the point(s) when the slope of the tangent line is 20.

A: Given the curve is  y=2x3-x2

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 tangent to the curve y=2/(8-5x) at x1=6.

A: Calculate the differentiation:-

Q: For the curve whose equation is given by x2 - 3xy + y2 - 4x + 2y +1 = 0, find the slope of the…

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Q: If (x) = 8x² - x, find f(1) and use it to find an equation of the tangent line to the curve y = 8x-…

A: First of all find derivative and slope

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

A: Please see the answer below.

Q: Determine the equation(s) of the tangent line(s) to the graph of r3y-xy, 6 when x--1

A: The point on the graph x3y=xy2+6 when x=-1 is given by plugging the value in the equation,Hence, the…

Q: Find the equation of the curve whose tangent line has a slope of f'(x)=5x-6/7 if the point ​(minus…

A: Given that And it is passing through (-1,-9).

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

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Q: .. The slope of the tangent line at any point (x, y) on a curve is given by (x + 2)3 + 1. If the…

A: Explanation of the answer is as follows

Q: Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent line.

A: Solution :   Given that                      y=x3+x   and The slope is equal to 4 i.e m= dydx=4

Q: Find an equation for the line that goes through the point (0,0) so that the tangent of the angle it…

A: Given, (x1,y1)= (0,0) tangent of the angle it makes with the x-axis=0

Q: Find an equation of the tangent line to the graph of f at the given point. y = x3 - 3x + 1, (3, 19)…

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Q: find an equation for the line tangent to given curve at the given value of x. y=x-x2 ;x=-2

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Given function is fx=2x2-4x+5. To find the equation of the tangent line in slope intercept form to…

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

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