8. Estimate the slope of the tangent line to the curve y = -2x at x=-4, and then use it to find the equation of the tangent line at x =-4. Show calculations to receive full credit.

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: 4. Find the point(s) on the curve of y=,x+x+2for which the slope of the tangent line is zero. (5)

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Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

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: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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Q: 2. Find the slope of the tangent line to the curve y = 4x² – 2 at x= 1. What is the equation of the…

A: The given curve is y=4x2-2. At x=1, y=412-2=2. Thus, the graph is passing through 1, 2. The slope of…

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

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Q: At what exact point on the curve  y = 8 + 2ex − 3x  is the tangent line parallel to the line  3x −…

A: The given curve is y=8+2ex-3x and the line is 3x-y=9. For the tangent line to be parallel to the…

Q: If the slope of the tangent line to the curve at the point (– 1, 2) is 4, find a. y=ax^2+3

A: The given curve is y=ax2+3. First derivative of y=ax2+3 is dydx=2ax. At -1, 2, dydx=2a-1=-2a Thus,…

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

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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: Find the equation of the tangent line at the given point on curve.

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Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: The slope of the tangent line to the curve y=2eUXcos(-6x) at x-0 is

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

A: To find the slope of the tangent line to the given curve at the given point

Q: What is the slope of the tangent line to the curve y equals x to the power of x at x equals 2.91

A: We will use standard method to find this.

Q: 4) Find the slope of the tangent line to the curve 4 y = 3(х3 — 2х2 + 3х — 5) at the point (2,) Give…

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Q: At what point of the curve y = 4cosh(2x) does the tangent line have slope 4?

A: y=4cosh2x Slope of the tangent line is the derivative of the given curve. So differentiating with…

Q: How do you find the equation of the tangent line of xy = 36?

A: We have to discuss How do we find the equation of the tangent line of xy = 36.

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: -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 equation of the tangent line at the point (1,−1) to the curve defined implicitly below. x6…

A: Given equation of curve x6 + y2 = 2let the tangent line be y = mx+c where m is the dy/dx and c is…

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: 2 Find the slope of the tangent line to у 3 at X = 1 3 - х

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Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

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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: What is the slope of the tangent line to y = 4x at x = O?

A: Our Aim is to find the slope of the tangent line to y=4x at x=0.

Q: 1. Write the equation for both the tangent line and normal line to the curve y = 3x² – x +1 at the…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

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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: What is the value of the slope of the tangent line to the curve *+4xy+y2=13 passing through the…

A: Note : As per guidelines, I have to answer Only one question, if you want other questions to be…

Q: 2. Write the equation of the tangent line to the curve y = x3 – 6x at the point (2, –4).

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Q: 3. Find the equation of the tangent line to (x*+ y°)* +50xy = 0 at the point (2,-4).

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Q: 2 Write the equation of the tangent line to the graph of y =x at the point x = - 0.7.

A: Given equation is To find the equation of tangent line y=mx+b, we need to find out the slope m…

Q: tangent line

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Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

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Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

A: To find the slope of the tangent line to the curve, y=4x, at the point 9, 49.The  equation of this…

Q: What is the value of the slope of the tangent line to the curve x²+ 4.xy +y² =13 passing through the…

A: topic - slope of a tangent at a point on a curve

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: 5- Find the slope of the curve and the tangent line of y = 2x- 3 at (0, 2).

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Q: find the slope of the tangent line to the curve at the given point. x^2 + 4xy + y^2 = 13, (2,1)

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Q: 2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).

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Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

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Q: Where on the curve y = (100 + x?)- does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Locate the point where the slope of tangent line to y-n 2r2 s

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