Determine the points at which the graph of the function has a horizontal tangent line fix) = x2 X- 1 (х, у) %3D (smaller x-value) (х, у) %3D (larger x-value)

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

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Q: Find an equation of the tangent line at the point indicated. y = π5x- 2 , x = 1

A: To find the equation of tangent to the given curve we need to find the point where the tangent is to…

Q: Determine the points at which the graph of the function has a horizontal tangent line. x2 f(x) (х,…

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Q: Find the slope of the tangent to the curve at the point specified. x² +y² = 9 at (0, 3) The slope is

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Q: Find slope of the tangent line to the elipse x^2/36 + y^2/16=1 at the point (x,y) slope=

A: Given ellipse equation is x236+y216=1 find the slope of the tangent line at the point (x,y)

Q: Find an equation of the tangent line to the curve y = x sqrt x that is parallel to the line y = 1+…

A: Now slope of the tangent line is the derivative of the given curve. So differentiating given curve…

Q: Determine the points at which the graph of the function has a horizontal tangent line. x² f(x) = X –…

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Q: Edit Find the equation of the tangent line to the graph of y = 8" at x = 1. NOTE: Round the slope to…

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Q: Find the points on the curve y = 2x3 + 3x2 12x + 2 where the tangent line is horizontal. (х, у) %3D…

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Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 3 where the tangent line is horizontal. (х, у)…

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Q: Determine the points at which the graph of thelfunction has a horizontal tangent line. x2 f(x): %D X…

A: We can solve this problem using concept of application of derivative.

Q: (b) y = x3 y 2 1

A: Given y=x³ Draw the graph and measure the change in y and change in x

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(x² + y²)° = 25(a² – y²) at the…

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Q: Determine the point on f(x)= 2x^e where the tangent is parallel to the line y= 2x-12

A: The equation of the curve is  f(x) = 2xe The line parallel to the tangent line on the graph of the…

Q: Find the equation of the tangent line to the graph of y = f(x) at r = 3. %3D f(x) = In(x – 6|) y =

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Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: What is the slope of the tangent line to the graph y = a° – 3x, | at the point (x1, Y1)?

A: Our Aim is to find the slope of the tangent line to the graph y=x3-3x -(i)at the point (x1,y1),

Q: At which points on the curve y = 1 + 40x3 - 3x5 does the tangent line have the largest slope? (x, y)…

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Q: Estimate the slope of the tangent line at the point indicated. f ( x) = ex; x=e

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Q: Determine the points, if any, at which the graph of the function has a horizontal tangent line.…

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Q: Estimate the slope of the tangent line at the point indicated.

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Q: x = esine y = ecose

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Q: Estimate the slope of the tangent line at the point indicated f(x) = ex :   x=0

A: Find out the slope of the tangent line at the point indicated f(x)=ex : x=0. Slope of the tangent is…

Q: At which points on the curve y = 1 + 60x3 - 2x does the tangent line have the largest slope? (х,…

A: Given,           y=1+60x3-2x5

Q: Estimate the slope of the tangent line at the point indicated y(x) = 1/ (x+2) ;        x = 2

A: Solution:Given   y(x)=1x+2To find the slopeFormula:slope=dydxddxxn=nxn-1

Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

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: Describe the slope of the tangent line to the graph of f(x) = e* for the following. (a) x-- (b) x-0

A: The slope of a line is the tangent of the angle that the line makes with the x-axis. The slope of…

Q: Find the equation of the tangent line to the function y = xsin x when x = 6.

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Q: At which points on the curve y = 1 + 60x3 - 2x5 does the tangent line have the largest slope? 1 5…

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Q: Find all horizontal and vertical tangent lines for the implicity defined function x^2/4+y^2=1?

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Q: Determine the points at which the graph of the function has a horizontal tangent line. x2 f(x) %3D…

A: Solve the following

Q: Determine the points at which the graph of the function has a horizontal tangent line. x2 f(x) x - 9…

A: First find slope

Q: Determine the points at which the graph of the function has a horizontal tangent line. f(x) =…

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Q: Find an equation of the tangent line to the curve  y = xsqrtx  that is parallel to the line  y = 6 +…

A: Given data: *The equation of the curve is y=x×x *The tangent line is parallel to the curve y=6+3x…

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: Estimate the slope of the tangent line at the point indicated.

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Q: Find the point of tangency and equation of the tangent line of the following functions given a…

A: Given is the equation y=3x+2. The objective is to calculate the point of tangency and the equation…

Q: Find the slope of the tangent to the curve  y=1/sqrt x at the point where x=a

A: Given: y=1x; x=a we know that slopem of tangent at pointx=a is given by m=dydx|x=a…

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у)…

A: Given: As no method is mentioned, we will be answering by graphical method.

Q: Find the point(s) on the graph of y = (x2 - 143)eX where the tangent line is horizontal.

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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: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: Determine the points at which the graph of the function has a horizontal tangent line. f(x) = x - 3…

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Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

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Q: Estimate the slope of the tangent line at the point indicated. f(x) = lnx; x = 3

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Find equations of all tangents to the curve f(x) = 4/x that have slope -1. Options attatched

A: f(x) = 4/x                    Slope of tangent = -1

Q: Why are both the x-coordinate and the y-coordinate generallyneeded to find the slope of the tangent…

A: In implicit differentiation, the result of derivative of the curve that often contains the dependent…

Q: What is the slope of the tangent line to the graph of y = at x =1 %3D x+1

A: Given expression of the curve, y=e-xx+1

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.