Determine the value(s) of x for which f(x)=9x+8 has a horizontal tangent line. Select all correct answers.Option:9−8−89−98There are no values with a horizontal tangent.

Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: Find the derivative of the function. 8) q = V15r - 17

A: Please refer the attached image for complete solution. THANK YOU.

Q: Q2: A) Find an equation of the line tangent to the function of x+ (y-x)2 = 9 at x 1.

A: Answer

Q: Graph the function f(x) = coordinates are -2,0, and 1. 2a? and draw the tangent lines to the graph…

A: Sketch the function.

Q: Where does f(x)=x³-3x²+2x -7h have tangent lines that are parallel to y 2x-7? Selected Answers:

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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: 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: 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: 1 B2(a): Find the derivative of the function 10x + 4 Y = and simplify the answer: 5x – 4 -

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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: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

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

A: Solution

Q: Given f(x) = vx +8, find f' (-4) using the definition of a derivative. Provide your answer below:…

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Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

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

A:

Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: Given that f(-5)=-5  and f'(-5)=-10 , find an equation for the tangent line to the graph y=f(x) of…

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Q: 2. Given f(x) = x³ – 7x? + 16x - 10 find the location of all horizontal tangent lines.

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Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 7x2 – 4x – 3 at z = -5.

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

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

A:

Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

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Q: Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x² + 4x -…

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

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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: -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: Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x² + 4x…

A: Part 1,Given,          The function is fx=x2+4x-1 .

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: Suppose you have the function f(x) = 3x2 + 4x + 2. %D - A) What is the exact value of the slope of…

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Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

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Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: t(x)=23x3−10x2+42x+9 Given the function above, use the First Derivative Test to find the local…

A:

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: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

Q: Q2: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx = 1.

A: There will be two tangents. The detailed solution is as follows below:

Q: Find the derivative of the function. -Vx? y = + 36 6 + Vx2 + 36 1 In 36 6x2

A:

Q: Given f"(x) = x(2x-3), find f(x) if the point (2,7) is on the curve y=f(x) and the slope of the…

A: Simplify f''(x):f''(x)=2x2-3x

Q: Find the values of x where the tangent line is horizontal for the function  f(x) = x2(x-5)3

A:

Q: 4. k(x) = (4x³ – 7x² + 5)/4e*

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= f(x) (2 + 3x)(6-5x)…

A: Given:

Q: Find the first and second derivatives of the function. g(t) = (3t2 - 3)2 (8r?) %3D

A:

Q: Given the equation 3x + 2xy -y = 0, evaluate Assume that the equation implicitly defines y as a…

A: We have to find the derivative dydx of the given function.     According to our guidelines, we can…

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: