Determine the points at which the graph of the function has a horizontal tangent line. x2 f(x) (х, у) %3D (smaller x-value) (х, у) ) (larger x-value)

Q: Use the graph below to determine the slope of the tangent line to y-f(x) when x=1. (2,5). 4 3 y-…

A: We can use the concept of Straight line in order to solve the given problem.

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

A: At given value of x find y Differentiate at given value Use equation of tangent line

Q: Determine all points on the graph of ƒ (x) = x* – x² – 1 for which a) the tangent line is…

A: Tangent line is horizontal at those points on the graph where derivative dydx=0 (1) At first we find…

Q: 7x Find the slope of the tangent line to the graph of f(x) = at x=2. (x+1)(x- 5)

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) = -4x – 3…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3.…

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Q: a. Determine the derivative of k(x) = (-2x* + 3x - 4)(x" – x- 1). Simplify your answer. b. What is…

A: The detailed solution is given below. Thank you

Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. 8)…

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Q: Find an equation of the tangent line to the graph of y = f(x) at the give 16 f(x) = Vx, x= 49 What…

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Q: Determine the point(s), at which the graph of the function has a tangent line with the given slope.…

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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: Determine the point(s), if any, at which the graph of the function has a tangent line with the given…

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Q: g(x) : 15 — х2; (1, 14)

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

A: Consider the given function: fx=x2x+8 slope of the function is derivative of the function at that…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 4.…

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Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: The graph of function f(x) is shown below. At which value of z is the slope of the tangent line to…

A: The given curve is a downward facing parabola as shown: Here, the highest point is at 3,-1. Thus,…

Q: - 4x and draw the tangent lines to the graph at points whose x-coordinates are Graph the function…

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Q: 56. For what value of a does the graph of f (x) = e® – 2x have a horizontal tangent?

A: Given query is to find the value of x where tangent is horizontal.

Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D

A: Given, The function  x2+y-x2 = 9  We have to find the equation of the tangent line to function at x…

Q: The graph of ax + b f(x) = (x+ 1)² has a horizontal tangent line at (-2, –1). Find a and b.

A: Given,           The graph of fx=ax+bx+12 has a horizontal tangent line at -2,-1.

Q: Determine the point(s), if any, at which the graph of the function has a horizontal tangent line.…

A: for horizontal tangent f'(x) = 0

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: Vx-1 Find the slope-intercept equation of the tangent line to the graph of at the point x2+1…

A: This question is based on knowing how to calculate slope from a given function at a point.

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: 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: Find an equation of the tangent line to the graph of y = x(x + 3) at the point (1, 1024). 2304x –…

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) : -15x + 3…

A: Given that  f(x)=-15x+3  At x=1

Q: Find the function whose tangent line has the slope e for each value of x and whose graph passes…

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Q: x6 +1 -at the point (-1, 1) x4 +1 Find the equation of the tangent line to the graph of

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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: Find an equation of the tangent line at the indicated point on the graph of the function. y = f(x) =…

A: Using equation of tangent line.

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: (a) Find f'(x). f'(x) = (b) Find the slope of the tangent line at x = 3 Slope = f'(3) =

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

Q: At what points do the graphs of the functions have horizontal tangent lines? g(x) = x3 - 3x

A: Line that are parallel to the x axis have slope=0. The slope of a tangent line to the graph of…

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: f(x)= x' -9x² +15x – 7 what is the tangent line slope which is drawn at the inflection point of…

A: The given function is f(x)=x3-9x2+15x-7

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: Find the equation of the tangent line to the graph of the function f (x) = a+3 at the point (0,-).…

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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: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

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Q: 2x-5 Find the equation of the tangent line to the graph of f(x) = at the point at which x+1 x = 0.

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Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

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Q: Determine the point(s), at which the graph of the function has a horizontal tangent line. y = x4 −…

A: The given function is  f(x) = x4 - 2x2  + 7 Horizontal tangent line will be for the curve where it…

Q: Solve the problem. Find where all tangents to the curve f(x) = that have slope -1. x + O x = 0 O x =…

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Q: (a). For the function in this problem, find the slope of the tangent line at the given value.…

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Estimate the value of the function, whose graph is shown in red, at x = 2.2 if the tangent line to…

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