Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) = 2(8x - 1)* y = Use a graphing utility to graph the function and the tangent line in the same viewing window. See Example 4. y y y 200000 -2 -2 4 150000 50 000 -50000- 100 000- -100000 -100000 50 000- -150000 -150000 -200000 - 200000 -4 -2 200000 150000 100000- 50000-

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= X-2 9x-4…

A: topic- equation of tangent line to curve

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 2. X-4 8x-7 f(x) =…

A: We can solve this as follows:

Q: The derivative of the function g(x) = | Q1 In tdt e-32 9x In(-3x) 9xe-3z -9x In(-3x) -9xe-3z None of…

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Q: Consider the function f(x) = 2x2+1. Find the equation of the tangent to the graph of f(x) at x = 2.…

A: Not sure why we need to calculate f inverse of 2. We do need to calculate the value of the…

Q: Find f′(x) and find the equation of the line tangent to the graph of f at x=3.   f(x)=7x/2x

A: Given query is to find the equation of tangent line to f(x) ate x=3.

Q: Let f(x) = 2x2 – 8x + 14 The slope of the tangent line to the graph of f(x) at the point (2, 6) is…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

Q: Let f be the function given by f(x) = 3e2* and let g be the function given by g(x) = 6x. At what…

A: The given function are: fx=3e2x

Q: Suppose that f(x) = (6x + 4)*. %3D (A) Find an equation for the tangent line to the graph of f at a…

A: a) The point at x=1 is (1,f(1)). f(x)=(6x+4)4 f(1)=(6(1)+4)4f(1)=10000 So the point is (1,10000)…

Q: Find an equation of the curve whose tangent line has a slope of f'(x) = 3x 10/11 given that the…

A: Given is derivative of f(x) we find f(x) so we integrate it.

Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

A: In the question we have to find the slope of tangent by following the steps where the given function…

Q: let f(x)=(x-9)(4x+5). Find an equation for the tangent line to the graph of f at x=12.

A: Given, The function is f(x)=(x-9)(4x+5)

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve…

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = (1 −…

A: The equation of the tangent line to the curve f(x) at a point (x1, y1) is given by:

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: Fill in the blank/s:

A: point form slope: y-y1=m(x-x1)Where m=f'(x) = slope(x1, y1) is a point on the line.

Q: Suppose that f(x) = 8x? + 2x. Find: %3D (A) f'(x) = (B) The slope of the graph of f(æ) at ¤ = 2 and…

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Q: Find an equation for the tangent line to the graph of the given function at (5,18). f(x) = x2 – 7…

A: Given:

Q: (!..m) Let f(x) = 40 – x² The slope of the tangent line to the graph of f(x) — х2 - at the point…

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

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Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

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Q: Let f(x) = (x - 8)(2x +7). Find an equation for the tangent line to the graph of f = 7. at x =…

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Q: Use the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

Q: Consider the following function. f(x) = x + 4x – 2, (1, 3) (a) Find an equation of the tangent line…

A: Given function is fx=x2+4x-2 and point is (1,3). Differentiating the given function with respect to…

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 the slope of the tangent line to the graph of the function at the given point. g(x) = 9/2 x +…

A: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 9/2 x…

Q: 2) a. The graph ofthe function f(x) = ax?+ bx + c has the y- intercept of 3, and its tangent at the…

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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 equation of the tangent line T(x) to the graph of the given function at the indicated…

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Q: This is what I have so far but it says I am missing something.

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Q: 2. Consider the function f (x) = r' - x2 - 5x + 13. (a) Compute f'(x). (b) Find the slope of the…

A: Authoring guidelines:…

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

A:

Q: Given the graph of a function y = f(x) below, select the representation that best corresponds to the…

A: Given y = f(x) so dy'dx = f'(x)

Q: Use calculus techniques to establish the first and second derivatives of the following functions and…

A: (a) Given information: The function is f(x)=x2x+1. 1) To find: The points where f(x) = 0. Solution:…

Q: Let f(x) = 9 – x² The slope of the tangent line to the graph of f(x) at the point (-3,0) is The…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Which of the following statements is TRUE? a. If f '(3) = 5 and g '(3) = 4, then the graph of f (x)…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-2 9x - 4 f(x) =…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-6 3x-7 f(x) =…

A:

Q: 5. 2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the…

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Q: Find the equation of the tangent line T(x) to the graph of the given function at the indicated…

A:

Q: Let fx)=12– for x 2 0 and f(x) > 0 . 30. The line tangent to the graph of f at the point(k(k))…

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Q: Find the slope of the tangent line to its inverse function f^-1 at the indicated point P, and find…

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =    x +…

A: 1)y=f(x)=x+2 y'=1 At (6,4), y-y1=m(x-x1) y-4=1(x-6) x-y-2=0 2) y=f(x)=x-2 y'=1 At (6,4),…

Q: Compute f'(x). f(x)= 8x^-3    ,  a=5   f'(x)=____________ Find an equation of the tangent line…

A: We have: f(x) = 8x-3 We need to calculate the value of f'(x) using the formula: xn = nxn-1  Thus,…

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

A: The given function is f(x)=4xx2-5. Find the equation of the tangent line to the graph of f(x)=4xx2-5…