For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all that apply. 12 1 -2 -12 2. 3,

Q: 1: Using the definition, calculate the derivative of the following function. S(x)=4-x²

A: Topic:- derivatives

Q: Given that the graph of f(x) passes through the point (6, 9) and that the slope of its tangent line…

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Q: Find all values of x for which f(x) = e?*(x² – 12) has horizontal tangent lines. %3D

A: Horizontal tangent meaning slope of those tangent are zero . Take the derivative and equate to zero…

Q: d the derivative fm(x) of the following function with respect to x: m fm(x) = ( ) n² · x" Σ n=1

A: Given           fmx=∑n=1mnx.xn2To find f'mxSo , ddxfmx=ddx∑nxn=1m.xn…

Q: 1. Find the slope of the line tangent to the function f(x) = 7 ln(x) – 6x at the point (1, -6). %3D…

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Q: Consider the following function. f(x) = Vx – 5, (14, 3) (a) Find an equation of the tangent line to…

A: a)

Q: Suppose that f(1) = 10 and the graph of the derivative of f is shown below. 6 5 4 y = f '(x) 2 1 3…

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Q: Solve the following problems involving implicit functions.  1. Find the equation of a tangent line…

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Q: The graph of the derivative f' of a function f over the interval (0, 16) is shown. y y =f '(x) 10 12…

A: Given that: Graph of f'(x)     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: Find all values of x for which the tangent line of f(x) = /x² + 18x+96 is horizontal. A 0,-9 B 0,9 С…

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Q: Given that f(2) =-7 and f'(2) = -8, find an equation for the tangent line to the graph of y = f(x)…

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Q: The graph of ax + b f(x) = (æ – 1)² has a horizontal tangent line at (–3, –). Find a and b.

A: For horizontal tangent line at a point derivative of the given curve is zero , just used it and…

Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x…

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Q: Suppose the linear approximation for a function f(x) at a = 2 is given by the tangent line y = -3x +…

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Q: 9. Given that the graph of f passes through the point (1, 5) and that the slope of its tangent at…

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Q: Which of the following CANNOT be a tangent line to the graph of f(x) = x+Vx + Vx, regardless of the…

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Q: Nhich of the following is the derivative of the function g(z) = 2? Og°(2) = 5 5e²+5z-e² g’ ( z (e-)?…

A: Given,  gz = 5zez  We have to find the derivative of the function gz = 5zez

Q: 6 25 Find the slope of the tangent line of the function 6xy + In (r²y) = 5 at the point 5 36

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Q: C. 1. If f(x) = V find, f '(4) and f "(4) 2. Find the slope of the tangent line to the curve 2x + 2y…

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Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizontal? A B) -6 -3 D none of…

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Q: 5. Find the slope of the tangent at the given points for the function S4 – x², x 15 а) P(- 1, 3) b)…

A: Topic- application of derivatives

Q: 1. DETAILS SCALCCC4 2.6.020. If the tangent line to y = f(x) at (7, 2) passes through the point (0,…

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Q: 19. Find an equation of the tangent line to the graph of f(x) = 2/x at (a) (1, 2); (b) (–1, –2); (c)…

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Q: Find for the function defined implicitly by x?y + ay? = b, where a and dx b are fixed constant. For…

A: The given equation is x2y+ay2=b, where a and b are the constants.

Q: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: Find all values of x for the given function where the tangent line is horizontal.

A: Find all values of x for the given function where the tangent line is horizontal.

Q: Consider the function f(x) = e2x. Out of all the many tangent lines of f (x), determine the one that…

A: Topic;- application of derivatives

Q: 1 14. Find the equation of the tangent line to f (x) at the point (a,f (a)) when a = 5. x+5

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

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Q: Find the x-value(s) on the graph of the function at which the tangent line has the given slope. (a)…

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Q: Determine the equation of the tangent line to the curve (x) = x/ x + 1 at X=3. 11 A 4 11 В 2/3 11…

A: Solution: Let y =f(x)

Q: Find the x-value(s) on the graph of the function at which the tangent line has the given slope. a)…

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Q: Suppose that f is a function given as f(x) = x° + bx? + cx – 2. Find the exact values of b and c if…

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Q: Given that f(−6)=−6 and f′(−6)=−6, find an equation for the tangent line to the graph of y=f(x) at…

A: We know that slope of tangent line to the graph of y=f(x) at x=a is f'(a) Therefore, slope of…

Q: For what value of x is the tangent line to the curve y = x^2– 6x +5 horizontal? A. -3 B. 3 C. -6 D.…

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Q: |The graph of ах + b f(x) = (т — 1)(» — 4) has a horizontal tangent line at (2, –1). Find a and b.

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Q: Find the derivative f„(x) of the following function with respect to x: 2 m fm (x) = (En² - 2" Σ n=1

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Q: Consider the function ?(?)=9?2+3. Its tangent line at ?=8 goes through the points (1,?1) and…

A: Consider the function ?(?)=9?2+3. Its tangent line at ?=8 goes through the points (1,?1) and…

Q: Consider the following function. f(x) = Vx - 2, (18, 4) (a) Find an equation of the tangent line to…

A: Given,

Q: Find the equation of the tangent line to the graph of the given function at the given value of x. 3…

A: we have to find the equation of the tangent line of f

Q: Let f(x) = 25 x The slope of the tangent line to the graph of f(x) at the point (–6, – 25) is The…

A: All the answers are given below

Q: 1. For the function f(x) = 3x? + 8x – 2, (a) Find the slope of f(x) at x = 3 | (b) Find equation of…

A: According to the bartleby guidelines, for more than one questions asked, only the 1st question…

Q: Find the slope of the graph of f(x) = 2x − 3 when c = 2, you can apply the definition of the slope…

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Q: 2. If f (x) = e**, find the slope of the tangent line to f ~1 at x = 1. А. 1 D. 4 В. 1/2 С. 1/4 E. 2…

A: Here we have to find the inverse of the function and then we find the slope of the tangent line

Q: 1. For the function f(x) = 4x? + 6x – 6, (a) Find the slope of f(x) at x = 4 (b) Find equation of…

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Q: Use the function below to answer parts (a)-(c). f(x) = x? +6 (a) Use the formal definition to find…

A: The given function is, f(x)=x2+6. a) Find the derivative of y=f(x) at x=2 as follows. By definition…

Q: For f(x)= (2x – 3)°, find the equation of the tangent line at x = 0 and x = 2. The tangent line at x…

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Q: (6) _If f'(a)=0, then the tangent of the function f at x=a is a horizontal line.

A: Since you have asked multiple questions in single request  so we  will be answering only first…