For what values of x does the graph of Ax)=x³ + 9x² + x + 5 have a horizontal tangent?

Q: Show that the graphs of the two equations have tangent lines that are perpendicular to each other at…

A: Let m1 And m2 be the slopes of the graphs y = x and y =1x respectively. Tangent lines to these…

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: Find the points where the tangent is parallel to OX. y = x4 - 8x3 + 22x2 - 24x + 9

A: Given: y=x4-8x3+22x2-24x+9.

Q: The slope of the tangent line to a curve is given by f'(x) = 6x² – 4x + 3. If the point (0, 1) is on…

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

Q: Find the slope of the tangent line to the circle 4x² + 9y² = 36 at the point (0,2).

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Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ….

A: The tangent line equation of 2x6+y4=9xy

Q: What are the coordinates of the points in the graph of y? – x² + 6x – 13 = 0 in which the tangent…

A: y2-x2+6x-13=0 --------------(1) Differentiating with respect to x ddxy2-x2+6x-13=ddx(0)…

Q: Given circle x+y= 25, find the slopes of the tangents to the two points on the circle where x =-3.'…

A: Consider the given circle x2+y2=25. Obtain the slopes of the tangent to the two points in the circle…

Q: Find all points on the graph of ƒ(x) = 9x2 - 8x + 4 where the slope of the tangent line is 0.

A: ƒ(x) = 9x2 - 8x + 4

Q: At what points on the graph of ƒ(x) = 2x3 - 9x2 - 12x + 5 is the slope of the tangent line 12?

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Q: The product of all the values of x for which the tangent lines to the graph of y= are parallel to…

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Q: At what points on the graph of ƒ(x) = 6x2 + 4x - 9 is the slope of the tangent line -2?

A: Given: f(x)=6x2+4x-9  Now we find the slope  Therefore, differentiate with respect to x we get,…

Q: Find the equation of the tan gent line to the graph of the equation f(x) = 5x - 8x +12, at the point…

A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: リ= 3x3-x2+6

A: Given query is to find the equation of the tangent.

Q: The equation of the tangent line to the graph of f(x) = 2x3 − x2 at the point (-1,-3) is

A: We have to find the equation of tangent of the given graph at (-1,-3), we know that slope of the…

Q: At what point on the graph of f ( x ) = 2 x 3 - 3 x 2 - 8 x is the tangent line equal to 4?

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Q: The slope of the tangent line to the curve at (x,y) point is defined by 3log3 (1- ) (k +1). If the…

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Q: For what values of x in [0,2pi] does the graph of f(x)= x + 2sin(x) have a horizontal tangent?

A: Horizontal tangent:The slope of a tangent of the graph of a function f (x) is df (x) ∕dx. For a…

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: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the tangent line equal to 4?

A: Given that: fx=2x3-3x2-8x To calculate the slope of the tangent line of given function,…

Q: What is the length of the graph of y = In(x<+1) - x from x = 0 to x = 3?

A: Given  The graph equation is y=lnx2+1-x  from  x=0 to x= 3 .   Formula :- Arc length of curve…

Q: Find the tangent line to the graph of f(x) = 3ex - 5x2 at x = 2.

A: A line is generally an object in geometry that doesn't bend i.e. it has no curve. It is a collection…

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: Determine the point(s) at which the graph of -8x f(x) = 2х- 1 has a horizontal tangent. (х, у) %3D

A: Solution - The derivative of a function is 0 at a point where the tangent is horizontal. Let us…

Q: Find the exact length of the curve. 는x - - In(x), 1<x<6 4 2

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Q: Find the length of the curve y = In (1 – 2*) over the interval [-,].

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Q: Show that no point on the graph of x 2 - 3xy + y 2 = 1 has a horizontal tangent line.

A: Given  x 2 - 3xy + y 2 = 1

Q: Find the equation of the tangent line to the graph of 3

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Q: At what two points on the graph of f ( x ) = 2 x 3 - 3 x 2 - 8 x is the tangent line equal to 4?

A: Consider the given function, fx=2x3-3x2-8x differentiate the function with respect to x,…

Q: ) Find the equation of the tangent f (x) = 4x - 8/x at a = 16. %3D %3D

A: Given: fx=4x-8x at x=16 For finding equation of tangent at x=16, we need to find y-coordinate for…

Q: Use the guidelines of the section to make a complete graph of ƒ. ƒ(x) = sin x - x on [0, 2π]

A: Given function - f(x) = sinx-xIntervals = 0, 2πUsing value of π as 3.14 to draw the curve,let us…

Q: Find equations of the two tangent lines to the graph of f(x) = x- that pass through the point (-1,…

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Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

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Q: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

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Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent…

Q: Find all values of xx such that the tangent line to the graph of y=4x^2−7x+2 is steeper than the…

A: To determine the interval where the tangent line to curve  y=4x^2−7x+2 is steeper than the tangent…

Q: point

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Q: The slope of the tangent line to the parabola y 3x? + 2x + 3 at the point (– 5, 68) is: The equation…

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Q: What are the coordinates of the points in the graph of y² – x² + 6x – 13 = 0 in which the tangent…

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Q: What are the coordinates of the points in the graph of y-x+6x – 13=0 in which the tangent line is…

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Q: Find the length of the tangent line segment from (9. 13) to the circle x2 + y2 = 25.

A: The tangent to circle is the line that touches the circle at a point. The line from center of the…

Q: find the slope of the curve at the point indicated. 19. у %3D 5x — Зх?, X =

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Q: How many lines are tangent to both of the circles  x2 + y2 = 4  and  x2 + (y − 3)2 = 1?   At what…

A: Given: The equations of circle are given as, Consider the parametric co-ordinates for the Eq. (A)…

Q: Find the equation of the tangent line to the graph of f(x)=5x3+4x2−1 at x=−1.

A: We have given.

Q: At what points on the graph of ƒ(x) = x3 + 6x2 + 21x + 2 is the slope of the tangent line 9?

A: Given:  f(x)=x3+6x2+21x+2Slope of tangent line=9 To Find: Points where the slope of tangent line is…

Q: What are the coordinates of the points in the graph of y-x²+6x – 13=0 in which the tangent line is…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: What are the coordinates of the point on the graph of Ax) = (x+ 1)(x+ 2) at which the tangent is…

A: solution:-f(x)=x+1x+2      =x2+3x+2slope of tangent=ddxf(x)                             =ddxx2+3x+2…

Q: The slope of the tangent line to a curve is given by f'(x) = 4x + 9x - 3. If the point (0,7) is on…

A: Given, f'x=4x2+9x-3(x,y)=0,7

Q: 1 Find the length of the curve ソ= 9 from x =1 to x=2. 28x7,

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