Question 5 Determine the value(s) of r for which f(x) 8x- 6 has a horizontal tangent line. Select all correct answers. Select all that apply 8 6 4 There are no values with a horizontal tangent. Q FEEDL

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: Find all the values of xx where the graph of f(x)=2x^3−30x^2+144x−2 has a horizontal tangent line.…

A: The given function f(x)=2x3-30x2+144x-2

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 and g' (6) = 3.…

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Q: (a) If F(x) = 12x/(3 + x2), find F '(3) and use it to find an equation of the tangent line to the…

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Q: Question 1 Use the First Derivative Test to find the local maximum and minimum values of the…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x= 2 if g(2) = -4 and g'(2) == 5.…

A: Known fact: The equation of line with slope m and passing through x1, y1 is given by y-y1=mx-x1.

Q: Find the equation of the line tangent to the graph off at the indicated value of x. 6 3 f(x) = Inx;…

A: In this question we have to find the equation of the line tangent to the graph of f at the indicated…

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 6.…

A: we are given y=g(x),g(3)=-2,g'(3)=6

Q: Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1.

A: Here we find equation of tangent on given curve.

Q: A graphing calculator is recommended. 13х 13x (a) If F(x) = find F'(3) and use it to find an…

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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: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Given:f(x)=5x(1+x2) Formula: ddxf(x)g(x)=g (x)f'(x)-f(x)g'(x)g(x)2

Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative…

A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) =…

Q: A graphing calculator is recommended. 13x (a) If F(x) = find F'(3) and use it to find an equation of…

A: The given function F(x)=13x4+x2

Q: 5x - 8 Find the equation of the tangent line to the graph of f(x) = x +1 at the point at which x =…

A: Equation of tangent line is (y-y1)=m(x-x1)

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -2 and g'(4) = 3.…

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Q: 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1…

A: Topic = Functions

Q: Determine the points on a function when tangent lines have a given slope Question 4x3 For which…

A: To determine the value of x for which the given function have slope 6.

Q: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

A: To find the equation of tangent of given equation.

Q: Find h'(-3) if h = f o g, f(x) = -8x? + 6 and the equation of the tangent line of g at -3 is y = 7x…

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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) = 11 e*+…

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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: I. Find the derivative of the following function. Show your complete solution. ( hint: some items…

A: 2. g(x)=3x2x2+2x-1

Q: Question 19. Obtain the second derivative of the function f(x) = -5x? + 2x5 + 4. Enter your answer…

A: Topic:- derivatives

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: Find f(3) if f"(x) = 2 and at the point (2, 6) the slope of the tangent line to f is 10.

A: we have to find f(3) if f"(x) = 2 and at the point (2, 6) the slope of the tangent line to f is 10.

Q: Find the equation of the tangent line to the graph of the function f (2) = (22 +7) (x– 2) at the…

A: Given curve f(x)=(x2+7)(x-2) ⇒f(x)=x3-2x2+7x-14

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 f(3) if f"(x) = 2 and at the point (2,6) the slope of the tangent line to f is 10

A: Given that: f''x=2 At the points the slope of tangent line to the function is 10 So, f'x=10

Q: 12. DETAILS LARAPCALC10 2.5.036. Find an equation of the tangent line to the graph of f at the point…

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Q: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

A:

Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

A:

Q: Given that f(-8) = 2 and f '(-8)  = 3, find an equation for the tangent line to the graph of y =…

A: Given that f-8=2

Q: Use the equation below to find the tangent line to the graph of the function f(x) = 6 − 2x^2 at the…

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Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: Let f(x) = x^2 + 3x - 5 1: Find the equation of the line thats tangent to f(x) at x = 2 2: If you…

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Q: Consider the following function. f(x) = x + , (-5, -6) (a) Find an equation of the tangent line to…

A: (a)

Q: Find an equation of the tangent line to the graph at the given point.

A: Find an equation of the tangent line to the graph at the given point.

Q: 7. An equation of the line tangent to the graph of f at the point (2, 7) is y = 4x – 1. Find f(2)…

A: Topic - point of tangent To the curve and slope of tangent to the curve

Q: Suppose that f(x) = (2x – 1)3³. (A) Find an equation for the tangent line to the graph of f at a =…

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Q: 12. Given the point ( 2, 1) on a tangent line to the curve f(x) = x² – 2x + 5 find the point(s)…

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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 an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: please help

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Q: 13x Ca) If F(x) = find F'(3) and use it to find an equation of the tangent line to the curve y = 13x…

A: Given function is : Fx=13x4+x2 To find the value of F'3 and to find the equation of tangent to the…

Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Consider the given function as y=5x1+x2

Q: (a) If F(x) = x2 - 5x, find F'(5) and use it to find an equation of the tangent line to the curve y…

A: Given: Fx=x2-5x or y=x2-5x  As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…