The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

Q: Find an equation of the line tangent to the graph of f(x) = - 2x at (2,- 16).

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Q: What is the equation of the line tangent to * f(x) = 4x2 + 2x – 1 at x = 0

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Q: 5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

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Q: What is the slope of the line tangent to the graph of f (x) = 2x2e" at x = -2? Express your answer…

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Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx+2

A: Find the equation of line

Q: An equation of the line tangent to the graph of f(x)= x(1-2x) at the point (1,-1) is

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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: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: Graph f(x) = x +2x -5 and the tangent line to the graph at the point whose x-coordinate is -2.

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Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

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Q: Find the slope-intercept equation of the tangent line to f (x) = 3x² – 4x + 5 at the point (1, 4).

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Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx +2

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Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: The function f is given by f(x) = -1-e-. What is the equation of the line tangent to the graph of f…

A: Given data: The given function is f(x)= -1- e-x. The slope of the tangent line is f'(x)=5. The…

Q: What is the slope of the graph of f (x) = x3 - 4x2 + 6 at x = 2? Write the equation of the line…

A: Given :        The function f(x) = x3 - 4x2 + 6    To find the slope of the graph f(x) = x3 - 4x2 +…

Q: Find an equation for the line tangent to f(x)=x3 +3x2 -2x-8, at the point where x=1

A: To find the equation of the tangent line at point x = 1 for the given curve.

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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Q: Find the slope of the line tangent to the graph of f(x) = 4 - xatx = 2. Provide your answer below: m…

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Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = -2x +…

A: The given function is fx=-2x3+3. Compute the slope of as follows.

Q: Find the slope-intercept equation of the tangent line to the graph of f(x) = x2 at (-3, 9).

A: Consider the following function: fx=x2 Differentiate fx with respect to x: ddxfx=ddxx2f'x=2x…

Q: Find the equation of the tangent to the graph of f(x) = x-3 at the point (5, 4). Start by evaluating…

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Q: Find an equation of the line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: At which x location on the graph of f(x) = -x² - 2x + 15 is the slope of the tangent 0?

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Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

Q: 2 For what values of x does the graph of f(x) = 2x° + 3x – 180x – 1 have a horizontal tangent line?

A: First we find the derivative of f(x), the slope of f(x) for horizontal tangent is 0 and the…

Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

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Q: Find an equation of the tangent line to the graph of the function f(x) = 2x² - 4x +5 at the point…

A: Given, f(x)=2x2-4x+5

Q: write the equation of the tangent and normal line line of the curve. huow soution your 2. (3.0) f…

A: First, check if the given point lies on the curve, f(x) . If the point is on the curve, then compute…

Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: Find the equation of the secant line on the graph of the function f(x)=7x2 between the points where…

A: take x=-1 . take x=5

Q: the derivative () of = f(x) = 2

A: Please refer to the image below

Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

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Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

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Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the slope of the tangent line equal to…

A: The function is f(x)=2x3-3x2-8x and the slope of the tangent line is given as 4. By definition, the…

Q: What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=O?

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Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: Find the equation of the line tangent to the graph of f(x) = 3 - 2x at x = 3. Provide your answer…

A: The given curve is fx=3-2x and point is x=3 The slope of tangent on a curve f(x) at x=a is given by,…

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 5/2 y = 9x…

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Q: At what point does the graph of the function f(x) = x³ – 3x has horizontal tangent ? Find equations…

A: a) Points are (1,-2) and (-1,2) b) Lines are y=-x-1, and y=-x+3

Q: line has a slope of f ' ( x ) = 7x -10 / 11 given that

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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: Find the equation of the line tangent of f(x) = 3x - e-5x when x = 0.

A: f'x=3-e-5x-5=3+5e-5x We know that the slope of the tangent at x=a is f'(a). So the slope of the…

Q: Find the equation of the line that is perpendicular to the tangent line to f(x) = x4+1 at x = 2 and…

A: Answer and explanation is given below

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: