Find the point where the tangent to the graph of f(x)= -x^2-6 is parallel to the line y=4x-1

Q: What is the slope of the tangent line to the graph of x-xy-4y2 +2x +4y 8 at (4, -2)?

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Q: Estimate the slope of the tangent to the function… at the point of abscissa -3 and then determine…

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Q: Estimate the slope of the tangent line to the graph of f(x) = x^2+6x at x = 5.

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Q: Find the points on the curve y = 2x3 3x2 - 12x 4 where the tangent line is horizontal. (х, у)…

A: Find the points on the curve where the tangent line is horizontal as follows.The given curve is y =…

Q: Section 2.4 Chain Rule Please show & explain all work, thank you.

A: Multiply both sides by x^2.

Q: Find the equaiton of the tangent line for the function f(x)=x+3/x-3 at the point (4,7).

A: We find f'(x) using the quotient rule.

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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Q: What is the slope of the tangent line to the graph of X- xy-4y+2x +4y 8 at (4, -2)?

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Q: .What is the slope of the tangent line to the curve y = -4x3 + 3x – 5 at the point (1, –6)?-

A: Our Aim is to tell the slope of the tangent line to the curve y=-4x3+3x-5 -(i) at the point (1,-6).

Q: Find the slope of the tangent line of f(x)=10x2-3 at x=-2.

A: Given f(x)=10x2-3and x=-2

Q: Find the slope of the line tangent to the graph of f(x) = xe* at x = 0. %3D

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Q: Please find the equation of the tangent to f(x) =2* at the point (3,8)

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Q: Find the slope of the tangent line to the curve x² - xy - 2y³ 116 at the point (-2, 4).

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Q: Find the slope of the tangent line to the curve - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

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Q: 8. Find the point of the graph of f (x) = xe-2x where the tangent line is horizontal. %3D

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Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: What is the slope of the tangent line through the point (2, f (2)) if f '(x) = x3?

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Q: Find the equation of the tangent line to the graph of ƒ(x) = 4/x at x = 2

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Q: use 4 step process to find the slope of the tangent line to the graph of the given funcion at any…

A: Given,           F(x) =x2 + 6x

Q: Find equation of the tangent line to the graph of y=sqrt(x^3-2) At the point where x=3

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Q: What is the slope of the tangent line to the graph of f(x) =x² - 6x +2 at the point (3, -7)?

A: Given- fx=x2-6x+2 To Find- The slope of the tangent line at the point 3,-7.

Q: Find the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

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: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Find one point on the curve where the tangent line is horizontal y2=x3-3x

A: We have the equation of given curve as y2=x3-3x Now, the slope of the tangent can be calculated as…

Q: What are the coordinates of the point on the curve f(x)=4/x^2  -x where the tangent is horizontal?

A: Given:  f(x)=4/x^2  -x

Q: Find the slope of the tangent line to the curve 4x + lay- ly = 88 at the point (3, - 4).

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Q: Find the equation of the tangent line to the curve y = 8/x2 + x + 2 at x = 2.

A: Given, y=8x2+x+2,  at x=2 slope of curve at x=2 is dydx dydxx=2=-82x+1x2+x+22dydx=-4064=-5/8 at x=2,…

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: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

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Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

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Q: Find the equation of the tangent line to the graph of the function f (x) r+3 at the point (0,-). -4

A: Given: fx=x+3x-4 at the point0, -34

Q: Find the slope of the tangent line to f(x) = √9x³ at the point x = 4.

A: We have to find the slope of the tangent line to f(x)=9x3 at the point x=4.

Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

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Q: Find the slope of the tangent line of f (x) = 2x² - 3x + 2 at x = 2 %3D

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Q: Find the equation of the line tangent to the graph f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: Describe the tangent line at an arbitrary point on the “curve” y = 2x + 8.

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Q: Find the slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: Find the points on the graph of f(x)=48x−x3 where the tangent line is horizontal.

A: Given:f(x) = 48x – x3.Compute the derivative of the function f(x) as follows.

Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

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Q: Determine the point on the curve where the slope of tangent line to the curve is 0 or -3 a) f(x)=…

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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: What is the slope of the tangent line to the graph of x2-xy-4y2+2x+4y=8 at (4,-2)?

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Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…

Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3

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Q: What is the slope of the line tangent to the graph of h(x)=sqrt(x) at x=3?

A: I have given the formula for finding a slope of tangent line below the proof  And it is used in this…

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: