For what values of x does the graph of f(x) = x3 + 6x² + x + 4 have a horizontal tangent? X = (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Q: Given that the graph of f passes through the point (1, 3) and that the slope of its tangent line at…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: Given that the graph of f(x) passes through the point (9, 6), and that the slope of tangent line to…

A: First calculate f(x) then use (9,6) to find the constant in f(x). Then find f(5).

Q: Given that the graph of f passes through the point (1,9) and that the slope of its tangent line at…

A: Slope of the  tangent line to the  curve  y = f(x) is f '(x)

Q: At which of the labeled points does f' (x) = 1? B

A: The graph of the function is given by To evaluate : The point at which f'(x) = 1

Q: The tangent to the function, f(x) = -2x² + 3 at the point (-1, 1) is the hypotenuse of right…

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Q: There is no point on the graph of f(x) = 3x2 4 at which the tangent line is y = 12x- 2. Select one:…

A: We have to consider gi condition is true or false

Q: For what values of x does the graph of f(x) = 2x³ – 9x? – 60x – 3 have a horizontal tangent line?…

A: Given,          fx=2x3-9x2-60x-3 have a horizontal tangent line.

Q: Find all values of x such that the slope of the line tangent to the graph of f(x) is 0: f(x) = 3x* +…

A: Given : f(x)= 3x4 +4x3-36x2+6343

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

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Q: For what values of x does the graph of f (x) =x3 – x² +3 have a horizontal tangent? O 2 O and 2 O O…

A: ⚛ Slope is the rate of change of function which is equal tot he derivative of  that function. ⚛  The…

Q: The line tangent to the graph of ƒ

A: formula used: The equation of the tangent line at (x1, y1) is y-y1=m(x-x1) where m is the slope of…

Q: Find k such that the line is tangent to the graph of the function.

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Q: Find k such that the line is tangent to the graph of the function.

A: To find: The value of k. Given: The tangent on the curve fx=k-x2 is y=-6x+1. Concept used: The…

Q: Find k such that the line is tangent to the graph of the function.

A: The function is given as fx=kx......(1) The line is given as y=x+4......(2)

Q: Given function f, find the slope of the tangent line to the graph of f^-1 at the specified point on…

A: The given function is

Q: (b) Write the equation of the line tangent to the graph of f(x) at z 1, and graph it below f(x) =…

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Q: Given that the tangent line to the graph of f at the point (-1, 4) has the equation 3r-2y+11 0, find…

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Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Find the slope of the line tangent to the graph of f -1 at the specified point on the graph of f -1.

Q: Given that the graph of f(x) passes through the point (7, 3) and that the slope of its tangent line…

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Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

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Q: For what values of x does the graph of f(x) = x3 + 3x 2 + x + 3 have a horizontal tangent?

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: Let f(x) = (x - 8)(2x +7). Find an equation for the tangent line to the graph of f = 7. at x =…

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Q: 1 Find the distance between the two values of x at which the function is discontinuous. x²-3x + 2

A: The function given is ,f(x) = 1x2-3x+2f(x) is discontinous when,x2-3x+2 = 0Using quadratic formula,x…

Q: For what values of x does the graph of f(x) = 2a – 9a? – 60x – 3 have a horizontal tangent line?…

A: Given function is fx=2x3-9x2-60x-3. Compute the derivative. f'x=2x3-9x2-60x-3'=6x2-18x-60

Q: Graph the function f(x)=−4x2f(x)=-4x2 and draw the tangent lines to the graph at points whose…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: For what values of x does the graph of f(x) =x³ + 9x² +x + 5 have a horizontal tangent?

A: GIVEN : f(x) = x3 + 9x2 + x + 5

Q: Given the function f(x) = (x² – 4)(x² + 4), the number of horizontal tangents of f is

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Q: This is what I have so far but it says I am missing something.

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Q: If f (x)= x2 - 4x, at which point on the graph f (x) is the tangent line horizontal

A: topic - slope of tangent line

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: For the graph of f(x) = x-7x² -6x +5, find the value(s) of x for which the tangent to the curve is…

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Q: For the function f(x)= 3x² +2x–1, Find the equation of the line tangent to the curve at x = -1 2.

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Q: Given that the graph of f passes through the point (1, -1) and that the slope of its tangent line at…

A: We will use integration to find function first. Then value of the function

Q: Let f(x) = 3x² – 7x + 5. What is the value of x for which the tangent line to the graph of y = f(x)…

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Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

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Q: Find the values of x for all points on the graph of f(x)=x3-2x2+5x-16x at which the slope of the…

A: The given function is

Q: The graph f(x) has horizontal tangents when x = 3 f'(x) 2+ 2 -1 0

A: Horizontal tangents have slope = 0. ie slope of tangent = f'(x)

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: Given that the graph of f passes through the point (1, 7) and that the slope of its tangent line at…

A: As per guidelines we have to solve only one

Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line.…

A: topic - derivative of a function and point of horizontal tangent line

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

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Q: Write the equation of the line tangent to the graph of f (x) = -3x² + 5x + 1 at x = 1 and use it to…

A: We have to find the tangent line equation and also we have to approximate f(1.2).

Q: (c) For what value(s) of x does the graph f (x) =3x³ – x² +3 have a horizontal tangent.

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

Q: If f(x) = ax4 + bx³ + cx2 + dx + e, determine a, b, c, d and e so that the graph of f will have a…

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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: Use the graph of f(x) = ex to obtain the graph of g(x) = eX. %3D %D

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Q: Given that the tangent line to the graph of f at the point (-1, 4) has the equation 3r-2y+11 = 0,…

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Q: For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

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