Find the slope of the curve (of the tangent line) for the given value of x. 1) у %3Dх3 - 8х, х %31

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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Q: b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? %3D

A: b) if B(x)=g(x)we have to find the equation of tangent line drawn to B(x) when x=1   differentiate…

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: The slope of the tangent line to a curve at any point (?,?) on the curve is equal to 3x2y2. Find an…

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Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6)…

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)…

Q: The slope of the tangent line at any point (x, y) on a curve is 2,/x- If the point (9, 3) is on the…

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Q: At the given point, find the slope of the curve, as requested. the line that is tangent to the…

A: Given To find the slope of the curve , take derivative Given point is (0,1)

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

A: Slope is derivative of y with respect to x. And equation of tangent is (y-y1) =m(x-x1).

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 and whose normal line…

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Q: 2. The slope of the tangent line to a curve at any point (x, y) on the curve is. What is the…

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Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

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Q: The slope of the tangent line to the curve y = is: at the point (8, 8. Question Help: Message…

A: Slope of the tangent line is the find the derivative of f(X) and plug the X value  of indicated…

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: The slope of the tangent line at any point (x, y) on a curve is If the point (9, 3) is on the curve,…

A: Given,            The slope of the tangent line at any point x,y on a curve is 2x.            The…

Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: Given

Q: Where on the curve y = (361 +x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: The slope of the tangent line at any point (X, y) on a curve is If the point (9, 3) is on the curve,…

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Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

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Q: Where is the slope of the tangent line to the function ?(?) = −?^2 + 6? equal to −10 (give the x and…

A: Assuming the function given is  y(x) = - x2 + 6                ......(1)

Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 2? y = 2 + 2ex –…

A: To determine the point on the given curve is the tangent line parallel to the line 3x-y=2.…

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

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Q: 13. Find the equation of the line with slope equal to 1 and normal to the curve x2 + 3xy +y? = 5 at…

A: GIVEN: curve is x2 + 3xy + y2 = 5

Q: Determine the equation of the curve for which the tangent line at every point has a slope of 25, x =…

A: Topic = Coordinate geometry Correct option = D

Q: Determine the slope of the tangent line to the curve y = In(x) at x =e?. O Option 4 O Option 1…

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Q: (a) Find the slope of the curve at point P and write the equation of tangent line at point P. 2x? –…

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Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: To find the slope of the tangent to the given function at the indicated point we need to find the…

Q: (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at…

A: First we have to find slope of line for different values of x-

Q: write the equation of the tangent line to the curve y=x^3+xat the points where the slope is 4.

A: We have given,

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find y' and then find the slope of the tangent line at (128, 32). Round the slope and y-intercept to…

A: Given functon is y=8xSlope , y1 =ddx 8x              =82x = 2xHence at (128,32)y1  = 2128 = 164y1 =…

Q: Write an equation for the tangent line at the given point 1) x* +y? = 4, (JZ, 2) 2) xy = -4, (2,-2)

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Q: Solve and explain (in written form) the step-by-step process on how to find the equation of the…

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Q: At which labeled point the slope of the tangent line is greatest? > 12.5 11 9.5 6.5 3.5 R 0,6 -5 -4…

A: Slope of the tangent =rate of change  According to the graph

Q: The slope of the tangent line is

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Q: Find equations for the tangent line and the normal line to che graph x² + y? = 5, (2, 1) tangent…

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Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the…

A: Explained below

Q: At which labeled point is the slope of the tangent line greatest? > 20 15 10 R -5 -2.5 2.5 -5 -10…

A: According concept of application of derivatives in order to solve the given problem.

Q: 4) Given the equation x3 + y3 = 9x (implicit), find y'. Then find the slope and equation of the…

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Q: The slope of the tangent line at any point (x, y) on a curve is If the point (9, 3) is on the curve,…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

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Q: Find the slope of the tangent line to the curve – 4x + 4ry - 4y = 4 at the point (– 1, – 1).…

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

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Q: || х? + у? — 4х — 21 3D 0, (5, 4)

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Q: (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve…

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Q: Regarding y as the independent variable and æ as the dependent variable, find the slope of the…

A: The given curve y4+5x2y2+4yx4-2y=83 at the point 2,1

Q: Find the slope of the tangent line at the indicated point for: а? — 2а at the point (1, —2).

A: This is application of derivative.