Suppose that f is a function defined as f(x) = – 5x + 3x + ¤ + 3. Find an equation for the tangent Line drawn to the graph of f at a = 3. Use exact values.

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A: We have to use definition of differentiable:

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Q: Find the derivative of function defined as follows.

A: Given:  y = 6x4 - 2x3 + 5x+ 3To Find:  Derivative of y that is dydxSolutionWe will find the dydx by…

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Q: Let f(x)=1.91.9x. Estimate the derivative f′(1.1) to within two decimal places by using a small…

A: The given function is f(x) = 1.91.9x.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. x-5 f(x) = 6x-1…

A: Here given that f(x)=x-56x-1 We have to find f'(x) and also we have to find the equation of the…

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x) =…

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Q: Find f(x) if f(3) = 0 and the tangent line at (x, f(x)) has slope- x2 + 5 f(x) =

A: Given that

Q: The fifth derivative of the function f(x) = 5x° is a constar False O True

A: Given query is to find statement is true or false.

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: determine the pines at which the graph of the given function has a horizontal tangent line.…

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Q: Let f(x) = x- 5x2. Find the point(s) on the graph of f where the tangent line is horizontal. (х, у)…

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Q: .Find the Global Extrema for f(x) = Bx4-BeB-A)x. Use the second derivative to determine if those…

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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: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-7 f(x) = 9x -4…

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Q: Given that the graph of f passes through the point (2, 8) and that the slope of its tangent line at…

A: Given that the graph of f passes through the point (2, 8) and that the slope of its tangent line at…

Q: Find the derivative of the following function. f(x) = In csch 16x

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Q: Consider the following function. f(x) = x + (-4,-5) (a) Find an equation of the tangent line to the…

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Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of…

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Q: Use the limit formula for the derivative of a function at a point to find f'(-3) for f(r) = 2r2 – r.

A: use limit definition to find the value of derivative.

Q: Assume that functions f and g are differentiable with f(-3)= -5, f(- 3) = -4, g(-3)=2, and…

A: Equation of a line

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) = 4x3 + + 2Vx – 7. Find f'(x). 15. Find an equation for the tangent line to the graph of…

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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: 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: Let f(x)=x^3-4x^2. Find the points on the graph of f where the tangent line is horizontal.

A: f(x) = x3 - 4x2Horizontal tangent when f'(x) = 0differentiate f(x) with respect to 'x'f'(x) = 3x2 -…

Q: Suppose that f is a function defined as f(x) = 5x3 + 3x2 + x + 3. Find an equation for the tangent…

A: f(x)=5x3+3x2+x+3Derivative formuladdxxn=n xn-1

Q: Find k such that the line is tangent to the graph of the function.

A: f(x) = k−x²and the given line is y= −8x+5slope of the line = −8Now f'(x) = −2xtherefore,  −2x = −8…

Q: Assume that functions f and g are differentiable with f(- 3) = – 5, f'(- 3) = – 5, g(-3) = 4, and…

A: Given F(x)=f(x)g(x)

Q: Assume h(x) = (f(x))3. If f1(0)= −1/2, and f(0) = 8/3, determine an equation of the line tangent to…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

Q: Let f(x)= e^x^2 . Find an equation of the line tangent to the graph of f at the point the (1,e).

A: Tangent to the graph,

Q: Show that f x) = Ix- 5| is NOT differentiable at 5 by using the definitien of the derivative, (Start…

A: Definition of derivative:f'(x)=limh→0 f(x+h)-f(x)hf(x)=x-5f(x)=5-x,  x<5x-5,  x≥5L.H.S.…

Q: If f (x)= x2 - 4x, at which point on the graph f (x) is the tangent line horizontal

A: topic - slope of tangent line

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given:    f'(x)=3(2x−9)2,  5,32

Q: Find the slope of the tangent line to the graph of the given function f (x) = 4x³ at the point (2,…

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Q: Find the derivative of the following function by first simplifying the exp x2 - 64 g(x) = x-8 ....…

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Q: Find an equation for f(x) using the secant function. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . the secant function is in the form of as…

Q: Suppose you know that the equation of the tangent line to the graph of a function f at x = -2.5 is y…

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Q: 1 4. Use the definition of the derivative to compute f'(x) given f(x) = 2x 3

A: Given,          The function is fx=12x-3 .

Q: Find the x-coordinate on the graph of f (x) = x3 - 12 x where the tangent is horizontal. (A) 1, - 2…

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Q: Let f(x) = Find the equation of the tangent x² +1 line to the graph of f'(x) at the point where x =…

A: Given fx=1x2+1 We have to find equation of tangent to the curve f'(x) at x=1

Q: 1. f'(5) where f(x) = 2х-3

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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: Suppose f(x) = x^3 . Using the definition of derivative, compute both f'(x) and f''(x). (Hint: You…

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Q: 2. Use the definition of the derivative of a function at a number to calculate f'(8) where f(x) is…

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Q: The equation of the tangent line for the function f(x) = -8 – 5x at a = 8 is %3D y = -5(x + 8) + 48…

A: Given that      f(x) = -8 -5x at x = 8 We have to find the equation of the tangent line for the…

Q: find all the values of x for which f(x) will have a horizontal tangent line f(x)=(x-4)/(x^2-7)

A: Given equation f(x) For horizontal tangent line the slope f'(x)=0

Q: Suppose that f is a function defined as f(x) = xª . drawn to the graph of f at x = 1. Use exact…

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