The curve for which y" = 6 has a slope of -3 at its point %3| of inflection (2, 3). Find the value of arbitrary constant C3.

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

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: To find the length of the curve defined by y = 5x° + 8x from the point (-1,-13) to the point (2,56),…

A: Here the curve is given by y=5x3+8x x coordinate of the points (-1,-13) and (2,56) are -1 and 2…

Q: Differentiate implicitly to find the slope of the curve at the given point. xy3-x5y2=-4; (-1,2)

A: Given:- xy3 -x5 y2 =-4  To find:- slope of tangent at point (-1, 2)

Q: For what point on the curve of y=5x^2+9x is the slope of a tangent line equal to -21?

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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: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

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 slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

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Q: Find the slope and equation of the line tangent to f (x) = x² – 4 at the point (3, 5).

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Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

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

A: Maximize slope

Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

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

A: Since first subparts question statement missed. Answer 2 and 3

Q: What is the slope of the line tangent to the graph of g(x)=1/x at x=1?

A: Given that ,         g(x)=1x          find slope of tangent at x=1

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: 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: 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: 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: 1. What is the instantaneous slope of y = 5 at x = 5?

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

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Q: How fast does the  slope of the curve y= (x2+x+1)2 change at the point where x=2

A: First derivative of a function represents the change in function or slope of the function and second…

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

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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: At what point on the curve x = 9t2 + 7, y = - 5 does the tangent line have slope ?

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Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0

A: Clear solution is given.

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

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: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

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Q: For what point on the curve of y = 9x - 2x is the slope of a tangent line equal to - 38? The point…

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Q: Find an equation of the curve that passes through the point (0, 6) and whOse slope at (X, y) is X/y.

A: Given that: Slope of the curve at (x, y)=xy

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

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Q: find the equation of the line tangent to the graph of y=3ln⁡(x) at x=3. Tangent Line:…

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Q: Find the equation of the line tangent to the graph f(x) = – at the point (4,1).

A: Given:            fx=4x To find the slope of the tangent line, find the value of the derivative of…

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: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

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

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Q: What is the slope of the tangent line to the graph of the solution of y'= 7√y + 3x³ that passes…

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Q: Find the equation of the line tangent to the graph of y=4ln(x) at x=3.

A: Equation of tangent line

Q: What is the slope of the line tangent to the curve y = x4 – 8x3 + 22x2 – 24x + 9 at x = 1?

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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: What is the value of the slope of the tangent line to the curve y = 2x2 + x – 3 at the point…

A: Given :-  y = 2x2+x-3 To find:- slope of tangent line at (-1, -2)  METHOD:- Slope of tangent =dy/dx

Q: Find the equation of the curve for which the second derivative is 6. The curve passes through (1,…

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Q: The slope of the line tangent to the curve y=2x- 3 at point (1,-1) is 5

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

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: What is the slope of the line tangent to the graph of y=[9x^2]/[x+2] at x=1?

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