For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

Q: Given that the graph of f(x) passes through the point (4, 5) and that the slope of its tangent line…

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Q: Find an equation of the tangent line to the graph of y = f(x) at the given x. 14. f(x) = 1 at x = 4

A: Rtyu

Q: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

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Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and fl-1)=2, then what…

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Q: Consider the function y = x² In(x³). At which point the tangent line to the graph of this function…

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Q: Given that the graph of f(x) passes through the point (3, 10) and that the slope of its tangent line…

A: Consider the given slope of tangent of the function at x,fx is 2x+6

Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

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Q: 34. Find an equation of the line tangent to the graph of f(x) = (2x – 1)(x + 4) at (1, 5).

A: The objective of the question is find the equation of tangent at the point (1,5).

Q: For what values of does the graph of f(x) = x +2Sinxhave a horizontal tangent?

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Q: At what point on the graph of f ( x ) = 2 x 3 - 3 x 2 - 8 x is the tangent line equal to 4?

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Q: For what values of x in [0,2pi] does the graph of f(x)= x + 2sin(x) have a horizontal tangent?

A: Horizontal tangent:The slope of a tangent of the graph of a function f (x) is df (x) ∕dx. For a…

Q: For what values of x does the graph of f (x) have a horizontal tangent line?

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Q: Let f(x)=(x−10)(5x+2). Find an equation for the tangent line to the graph of f at x=7.

A: Given,

Q: Compute f'(x) and find an equation of the tangent line to the graph at x = a. f (x) = 5x − 32√x, a =…

A: For a function f(x), f'(x) denotes its first derivative. Value of first derivative at a point gives…

Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y =…

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

Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=n

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Q: For what values of x is the tangent line of the graph of f(x) = 6x + 18x² - 143x+ 18 rallel to the…

A: Explanation and solutions is given below....

Q: Given that the graph of f(x) passes through the point (8, 4) and that the slope of its tangent line…

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Q: For what values of x is the tangent line of the graph of f(x) = 2x + 12x? + 2x parallel to the line…

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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: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)…

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if…

Q: If the slope of the tangent line to the graph of y-f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

A: m(a)= 2 a + 1 f'(x) = m(x) = 2x +1  Integrating f'(x) gives f(x); f(x) = 2(x2/2) + x + c f(x) = x2 +…

Q: Find the equation of the tangent to the graph of f(x) =(x²+28)*/5 at x=2. %3D

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Q: If y=mx+b is the equation of the tangent line to the graph of f(x)= x² - x at x= -1, then m=

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Q: Find the equation of the tangent line to the graph of f(x) = 3x²e*-1 – 1, at ¤ = 1.

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Q: If the slope of the tangent line to the graph of y-f(x) at x-a is m(a)=20+1, and f(1)-5, then what…

A: We have to find function

Q: Given that the graph of f(x) passes through the point (4, 9) and that the slope of its tangent line…

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Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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Q: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: Find the equation of the tangent line to the graph of 4x – 7 f(x) at the point at which x = 0. x + 1

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Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…

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Q: If the slope of the tangent line to the graph of f(x) at x is m(x)=3x^2-2x+1 and f(2)=4, then what…

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Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: Given that the graph of f(x) passes through the point (3, 2) and that the slope of its tangent line…

A: Given: Graph of f(x) passes through the point (3,2) and that the slope of its tangent at (x,f(x)) is…

Q: What is the slope of the tangent line that touches the graph of Iny+e2x-1 = 3y – 4x at the point A 1

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Q: For what values of x is the tangent line of the graph of f(x) = 6x^3 + 9x^2 −218x   parallel to the…

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Q: 3 Find the slope of the tangent to the graph of f(x) = /x+5 at the point where x= 4.

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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: For what values of x is the tangent line of the graph of f(x) = 4x³ – 30x² + 73x parallel to the…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…

A: Given query is to find the value of a and b.

Q: Find the slope of the line tangent to the graph of f(x) = -x-1 at x = -3. Provide your answer below:…

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Q: For what values of x is the tangent line of the graph of f(x)= 2x3-12x2+2x+18 parallel to the line…

A: The tangent line of the graph of f(x)= 2x3-12x2+2x+18 is parallel to the line y=2x+.4 So, slope of…

Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: Q9. For what values of x does the graph of f(x)=x-2sin(x) have a horizontal tangent? *

A: As per Bartlebys expert answering policy, we can only answer one question with its three subparts,…

Q: Find an equation for the tangent line to the graph of f(x) = x+7 at (4,23).

A: Given: f(x)=x2+7 To Find: An equation of a tangent line to the graph of the given function at…

Q: If an equation of the tangent line to the graph of y f(x) at x = 2 is y = 3x - 11, find f(2) and…

A: NOTE: Refresh your page if you can't see any equations. . the equation of the tangent line to the…

Q: Given that the graph of f(x) passes through the point (7, 6) and that the slope of its tangent line…

A: Let y=f(x) is the curve. The curve passes through (7, 6) and slope of tangent at (x, y) is 4x+5.…

Q: For the function y= In(x² – 2) , the slope of the tangent at x = 2 is

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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: