Are there any points on the curve y = (x/2) + 1/(2x - 4) where the slope is -3/2? If so, find them.

Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation.

Q: Differentiate implicity to find the slope of the following curve at (0,3) x^3+yx^2+x^2-3y^2=0

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Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of at any point…

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Q: At what points does the equation of the line tangent to the curve y=1/x have a slope equal to −1?

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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: Find the points on the graph of y = 1– 5x + 3x² where that tangent line is parallel to the line y –…

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Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

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Q: Find all points (x, y) on the graph of ƒ(x) = 3x2 - 4x with tangent lines parallel to the line y =…

A: Since the tangent is parallel to y = 8x + 5. Hence, the slope of the tangent = slope of the line = 8

Q: At the two points where the curve x² – xy + y² = 36 crosses the x-axis, the tangents to the curve…

A: Given equation of the curve is: x^2 - xy + y^2 = 36 ..................... (1) Differentiating above…

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: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Determine slope of a curve y = x³ + 1 at x = 1

A: Given,           The slope of the curve y=x3+1  at x=1.

Q: 7. By definition find the slope of curve y = x2 – 2x – 3, at P(2, 3).

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Q: Find an equation of the tangent to the curve f(x) = /x+ 7 that has slope %3D 4

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Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: Find the equation of the family of curve whose slope at any point (x,y) is (x+1)/(y-1)

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: 2. Find the slope of the curve at the point indicated. a. y = 5x – 3x²,x = 1 x-1 b. y =,x = 0 x+1

A: Find the slope

Q: Find the equation of the curve that passes through the point (0, 2) and has a slope of at any point…

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Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1,…

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Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents…

A: To determine the x-intercept of the curve and slope of the tangent at the intercept.

Q: Determine slope of a curve y = x³3 + 1 at x = 1

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Q: For what point on the curve of y = 3x - 6x is the slope of a tangent line equal to 0? %3D

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Q: 4. Find the equation for the line tangent to a. y= x²- 3 x + 5 at the point (2, 3)

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Q: Find an equation of the curve that passes through the point (0, 2), and has the given slope y′ =…

A: y'=x4y, (0,2) Formula ∫xndx=xn+1n+1+C

Q: Find an equation in the form y = ax² + bx + c_whose graph has an x-intercept at x = -1 and a tangent…

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Q: Find the eqaution of the curve that passes through (0,1) if its slope is given by y'=1/2X at any…

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Q: Find the slope of the curve at the given point: 1. ( X+2y)^2 =x+10 at (-1, 2)

A: Here I am attaching image so that you understand each and every step. slope of the curve given at…

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: Are there any points on the curve y = x - e^-x where the slope is 2? If so, find them.

A: To determine the point where the slope of the function is 2.

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² − 2x³ at the point where x = a -

A: The equation of the curve is given by y = 3+4x2-2x3 To evaluate: The slope of the tangent to the…

Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: 4. Find the slope of the given function y3 = 4x with points (1, 2) using long method. Plot the curve

A: The solution are next step

Q: 7. Find an equation of the line tangent to the curve y = 3x² – 1 and perpendicular to the line x

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Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

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Q: Find an equation of the tangent line to the graph of y = 2x² + 3 that is parallel to the line 8x - y…

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Q: At which points on the curve  y = 1 + 40x3 − 3x5  does the tangent line have the largest slope?

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Q: Find the points on the graph of x5/2 + y5/2= 1 where the slope of the tangent line is -1.

A: Topic:- application of derivatives

Q: Find the slope of the line normal to the curve y x3 – 2x + 1 at x = 2

A: Our Aim is to find the slope of the line normal to the curve y=x3-2x+1-(i) at x=2.

Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

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Q: The slope of the line tangent to the curve y = x*- 8x3 + 22x² – 24x + 9 at x = 1 is _.

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Q: Find an equation of the curve that passes through thepoint (0, 1)and whose slope at (x, y) is xy.

A: To Determine: Find an equation of the curve that passes through the point (0, 1)and whose slope at…

Q: find the x-values for the graph of y=2/3x2+4 where the tangent line has the greatest slope, and…

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Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

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Q: 4. At what points on the curve y = 2x³ – 3x2 – 2x + 4 are tangents of slope 10?

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Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…

Q: Find all the points on the graph of y=f(x) at which the tangent line has the given slope.…

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Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.