Find the equation of a hat has a śecond clerivative y" = 12/x3 if it has a slope of' -b at point (1,0) eurve %3D

Q: Determine the slope of the tangent to the graph of y = 4 X Paragu at the point (1, 4).

A: Questions from application of derivatives.

Q: The slope of the tangent line to the curve y=4/x at the point (9,49) is:

A: To Determine: Slope of the tangent line to the curve at the point (9 , 49). Given curve is:…

Q: Find the equation of the  tangent and normal to the curve y=5x4 at the point (1,5)

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Q: What is the slope of the tangent line to the graph of y=x4-3x2+x+2 at x=2? b)What is the…

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Q: Differentiate implicitly to find the slope of the curve at the given point. x^2+y^2=1; (2,3)

A: The given curve is

Q: What is the value of the slope of the tangent line to the curve *y+y<=5 passing through the point…

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Q: Find the equation of the tangent and the normal to the curve y=5x4 at the point (1,5)

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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: At what point on the Curve x = 3t2 + 4, y = t³ - 6 does the tangent line have slope (х, у) %3D

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Q: The slope of the tangent line is 0. Is the slope of the normal line is undefined? If yes, it is…

A: Given: The slope of tangent line 0, To prove: The slope of line is undefined.

Q: What is the slope of the tangent line to the curve xy +y– 1=0 at the point (0, 1)? -1 -3 -2 1

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Q: Estimate the instantaneous rate of change of y(x) = 2x² + 2 at the point: In other words, choose…

A: To estimate the instantaneous rate of change of yx=2x2+2 at the point: x=-2.

Q: y = 4x3 – 12x² – 16x at x = 1

A: Equation of line at point (a, b) and slope m is : (y - b) = m*(x - a)

Q: See image below

A: Given function is

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: What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

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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 to the curve y 0.25x at x = 2 algebraically by finding the slope…

A: We have to find the slope of the tangent to the curve at x=2 by finding the slope of the secant…

Q: Explain how to find the tangent line and normal line equation when the slope is undefined?

A: It is given slope at the point is undefined say the point is (x1, y1).  The equation of tangent at…

Q: Average velocity is equal to the slope of a secant line through two points on a graph. Which graph?

A: Average velocity formula is:

Q: Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x,…

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Q: what is the slope of the tangent line to the curve 8x^3 - y^2 = 4 at the point (1,-2)

A: Given,

Q: What is the slope of the tangent line to the graph of y= x*- 3x2 + x+ 2 at x-2? What is the…

A: Given: The graph of y = x4 – 3x2 + x + 2.

Q: Show that the curve y = 2e* + 7x + 8x³ has no tangent line with slope 6. y' = y'[ ? ÷]6, so no…

A: We know that d/dx (x^n) =nx^(n-1) Please see the explanation below

Q: Find the slope of the tangent and normal to the curve  y=2x2+3sinx at x=0

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Q: value

A: We have to find the equation of lie from the given information

Q: Find equations of the tangent line and normal line tothe curve at the given point. y= 6Cosx  (π/3,…

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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: Explain the relationship between the slope and the derivative of ƒ(x) at x = a.

A: Given function is  fx at x=a

Q: What is the value of the slope of the tangent line to the curve *y+y²=5 passing through the point…

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Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Find the points on the graph of y = ex where the tangent line has slope 4.

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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: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

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 equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: find the equation of slope of tangent and the equation of slope of normal for y = -2x* + 5x° 4 2 3…

A: Given that y=-2x4+5x2-3 Take the derivative, y'=-8x3+10x The equation of the slope is,…

Q: Show that the curve y = 6x + 6x - 3 has no tangent line with slope 2.

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Q: Find equations of the tangent line and normal line tothe curve at the given point.   y= x2 - x4 ,…

A: Given, y=x2-x4, 1, 0

Q: compute the instantaneous slope at: (-4, 8) • Start with two points A : (-4,8) and B: (-4 + h, ?)…

A: Given the function f(x)=18x2+x+10We have to find instanteneous slope at (-4,8)

Q: At what points on the given curve x = 2t3, y = 4 + 8t - 11t2 does the tangent line have slope 1?…

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Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С.…

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is…

Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show…

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Q: Show that the curve y = 6 x 3 + 5x -3            has no tangent line with slope 4.

A: y=6x3+5x-3 has no tangent line with slope 4

Q: 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point (1,-2)? 3. What is…

A: In 2 we need to find the slope of the line tangent to the given curve at a point.  in 3 we need to…

Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

Q: Find the slope of the tangent line to the curve defined by 9a – 8zy – y* = -18 at the point (-1,…

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Q: The slope of the tangent line is 0. Is the slope of the normal line is undefined? If yes, how can I…

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

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: