For what value(s) of x does the graph of f(x) = 4x3 - 6x2 - 144x - 24, have a horizontal tangent?

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

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Q: Write the equation of the tangent line to the graph of y= 8x^4-7x-1/3-x^2 at x=1 check the…

A: First we find out first derivative at x=1 which is slope of tangent line.then we use equation of the…

Q: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

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Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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

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Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Find the slope m and the equation of the tangent line to the graph of the function f at the point…

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Q: At what points on the graph of ƒ(x) = 2x3 - 9x2 - 12x + 5 is the slope of the tangent line 12?

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Q: Find an equation of the line tangent to the graph of f(x) = at 8,

A: f(x)=4x

Q: At what points on the graph of ƒ(x) = 6x2 + 4x - 9 is the slope of the tangent line -2?

A: Given: f(x)=6x2+4x-9  Now we find the slope  Therefore, differentiate with respect to x we get,…

Q: What is the equation of the tangent line to the graph of the function (given below) at x=-2 ?…

A: gx=3x2-2

Q: Find the equation of the tangent line to the graph f(x)=x^4 +2x^2 -x at x=1. Write your equation in…

A: Equation of tangent line to the curve fx at point x=a is given by y-fa=f'ax-a Given curve is…

Q: The equation of the tangent line to the graph of f(x) = 2x3 − x2 at the point (-1,-3) is

A: We have to find the equation of tangent of the given graph at (-1,-3), we know that slope of the…

Q: Find the points function' that have horizontal tangents when f(x) = x°-6x 6 On the graph of the

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Q: Find the points where the graph of the function has horizontal tangents. f(x) = 3x^2 + 7x - 5

A: We have to find the points where the graph of the function has horizontal tangents.…

Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent.

A: Given that  f(x)=(-8x)/(√(2x-1))  The function has a horizontal tangent  To find the point at which…

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

A: Given that: fx=2x3-3x2-8x To calculate the slope of the tangent line of given function,…

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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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 equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx;…

A: To determine equation of tangent line at given point.

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is…

A: The derivative of xn is nxn-1 for n≠0. The derivative of f(x)+g(x) is f'(x)+g'(x). The derivative of…

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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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: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is -5

A: Given: ƒ(x) = x3 + 9x2 + 19x - 10 The slope of the tangent line is -5

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: 42. At what point on the graph of f(x) = -5x² + 4x – 2 is the slope of the tangent line 6?

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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: Find the equation of the line tangent to the graph of f(x) = 7x³ + 8x² – 2x – 6 at x

A: We need to find the equation of the tangent to the function f(x) = 7x3+8x2-2x-6 at x=—2 We know that…

Q: Determine the equation of the line tangent to the graph of f ( x ) = 3 x 2 − x + 4 at x = − 1.  Give…

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Q: Determine the points where the curve f(x) = 2x3 + 3x2 – 36x + 1 has a horizontal tangent. -

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Q: 3x4 – -7Vx5 + 4 - f (x) = x2

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Q: point

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

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Q: Find the equation of the line tangent to the graph of f(x) = x² + = - 9 at x = 7. y = help…

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Find X values of all points on the graph of g=x²³ + 3x² -11x +5 where the slope of tangent line is 3…

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Q: If (x) = 8x² - x, find f(1) and use it to find an equation of the tangent line to the curve y = 8x-…

A: First of all find derivative and slope

Q: If f(x) = 2x2 - 9x + 4, find the equation of the line tangent at a 2. %3D

A: Given that: f(x) = 2x2-9x+4  To find:  Equation of tangent line at x=2.

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: The given function fx=x4-25x2+144; x=-1. Obtain the slope at x=-1as follows.…

Q: Determine an equation for the tangent to the curve f(x) = 2x3 + 6x2 - 2  at x = -3

A: Given query is to find the equation of the tangent.

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: At what points on the graph of ƒ(x) = x3 + 6x2 + 21x + 2 is the slope of the tangent line 9?

A: Given:  f(x)=x3+6x2+21x+2Slope of tangent line=9 To Find: Points where the slope of tangent line is…

Q: Find the equation of the tangent line to the graph of y = x3 + 3x2 + 2 at its point of inflection

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Q: Find an equation of the tangent line to the graph of f(x)=3x3+2x when x=1.

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Q: the equation of the tangent line to the graph of f(x) = 4x3 + 7x² - 8x – 6 at x = -1.

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Q: Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

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: