What is the slope of the tangent line to the graph of f(x) = x² - 3x +1 at the point (-1,5)?

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the…

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Q: Find the equation of the tangent line to the curve at the point (-1,-3) x³y² = - 2xy-3

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Q: What is the equation of the tangent line of f(x) = In(2x – 3) at the point x = 2?

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

A: Multiply both sides by x^2.

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

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 y=x4-3x2+x+2 at x=2? b)What is the…

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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-intercept form of the equation of the tangent line to the curve defined by x-2 3…

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: the given function is y=2-x. so to find the tangent at a specified point given (-1 , 2 ). it is…

Q: Find an equation of the tangent line to the graph of f(x) = 4 - x2 at the point (-1,3).

A: Solve for the equation

Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: ction defined by f(x) = x2 – 3x + 4 at (-1, 2). Write

A: we have to find the slope of the line tangent to the graph of the function defined by  f(x) = x2 –…

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: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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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 an equation of the tangent line to the graph of f at the given point. ru) - -17) x + 8 f(x) x -…

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Q: Find an equation of the tangent line to the graph of f at the given point.

A: The equation of the tangent line to the graph of f at a given point x0,y0 is y-y0=f'(x0,y0)x-x0…

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: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

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Q: Find the point f(x)= x3 - 3x2 + x + 4 where the tangent line has slope 10

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Q: Find the equation of the tangent and normal line of the function f(x)=√2x-1 at the point (5,3)

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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: Find the slope of the tangent line to the graph y = x' - 3x +x at the point (2,–2). Hence, find the…

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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: Find the equation of the tangent line on the top graph of ... at the point (3,2)

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Q: Find the equation of the tangent line to the graph of the function f(x)=x+5/x-4 at point (0,-5/4)…

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Q: Find an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-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 exact value of the slope of the tangent line to the graph of 3x2+xy−3y3=1 at the point…

A: The slope of the tangent to a curve y=fx at a point x1,y1 is defined by the formula, Slope of the…

Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-1?

A: We have to find

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

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Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-3?

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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: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

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: Find the slope of the tangent line to the curve - 4x² - 2xy + 3y³ = | at the point (3, 1). - 33

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Q: What is the value of the slope of the tangent line to the curve y = 2x² + x – 3 at the point (–1,…

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Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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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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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: