For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. f(x) = 3x - 3x + 3

Q: Given the function f(x) = x³ - 3x2 x – 1, determine all coordinate points (x, y) on the graph of f…

A: The derivative of the function will give the value of slope. For two value of x, f(x) will have…

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

A: Given, The function is f(x)=-x2+8 and the point on the graph of f-1(x) is (7,1).

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

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Q: Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the…

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Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

A: Given:     The slope of the tangent at  (x,f(x)) is 2x+1                   f'(x)=2x+1    We know…

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Given that the graph of f passes through the point (1, -2) and that the slope of its tangent line at…

A: The graph of the function fx passes through the point x0, fx0=1,-2 The slope of the the tangent line…

Q: Let P(x) = 7x² + 6. Estimate the slope of the tangent line of this function at the point x = 3.…

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Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given : fx=-3x+1 ; x=1, x=5 To find : a) the equation of the secant line through the points where x…

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

A: Obtain the inverse of the given function as follows:

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: 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: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

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Q: Find the tangent line of the function f(x) =16/x− 4√x at x = 4, and the point at which the tangent…

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Q: Find an equation of the line that is tangent to the graph of f for the given value of x. 1)…

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Q: For function, find (a) the equation of the secant line through the points where x has the given…

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A: For horizontal tangent line  f'(x) =  0 Which means slope is zero .

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

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Q: Given f(x) = -x² – 4x – 6, find f' (4) using the definition of a derivative. Provide your answer…

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Q: function f(x)=2x^3-5x^2+3x+2, find the equation of the tangent line at x=1.

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Q: Let P(x) = 5x² + 6. Estimate the slope of the tangent line of this function at the point x = 4.…

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Q: For the function f(x) = - 4x, make a table of slopes of secant lines and make a conjecture about the…

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A: The graph is itself a straight line with a slope of m = 3 compare with  y = mX + c ; to get the…

Q: Let P(x) 5x2 + 7. Estimate the slope of the tangent line of this function at the point x = 6. (Give…

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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: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given f(x)=x2+x, x=3, x=6

Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

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: For the function f(x) = 8x^3-2x^2+2x, Find the equation of the tangent line at x = 2.

A: Please see the answer in Step 2

Q: 3x4 – -7Vx5 + 4 - f (x) = x2

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Q: For the function f(x) = 3x² + 2x + 1, evaluate and simplify: f(x+h)-f(x) h Find the value of the…

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Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

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Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

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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: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root x…

A: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root…

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: find the slope and an equation of the tangent line to the graph of the function f at the specified…

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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: 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: Given the function F(x)= 1/x2 - Use the definition of the derivative to find f'(2)

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Q: For which values of x does the graph of  f(x) = 8x3 - 12x2 - 24 have a horizontal tangent? Enter…

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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: 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: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

A: To locate the points on the graph where the tangent is parallel to the x -axis

Q: For f(x): 1 -x² + x + 2, find: a) the equation of the line that is tangent to the graph of f at the…

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Q: given the function f(x) = x' - 3x + 1. Use this function to find 9.All values of x for which the…

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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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