Sketch the graph of each of the following functions from your knowledge of the graph of the square root function f(x) = Vx. Moreover, specify the domain and the range of each function. (a) fi(x) = Vx + 2. (b) f2(x) = -Vx +2. (c) f3(x) = /-(x +2).

Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?

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Q: Find derivative of f(x) = x^5-7x^3+8

A: We have to find derivative of  f(x) = x5 - 7x3 + 8 We know that  If f(x) = xn then  f'(x) = nxn-1…

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Q: -Find the range of the function y = 2 - sin3x

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Q: Graph f(x) = x +2x -5 and the tangent line to the graph at the point whose x-coordinate is -2.

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Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

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

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Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

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Q: Find the relative extrema of the functions f(x)=-4x2-32x-62. Identify any maximum or minimum by…

A: Given function is Differentiating f (x) with respect to x, we get Now, we will find critical…

Q: Using the second derivative criterion, find the graphs of the functions a) F(x) = x*– 8x² +3

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Q: Sometimes the second derivative test is harder to use, even if it applies. Use the first derivative…

A: Given,

Q: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

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Q: sketch the graphof the function and state its domain. f (x) = 4 ln(x − 2) + 1

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Q: Find the x-coordinates of all local maxima using the second derivative test. g(x) = 2° – 3x7 +2

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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)=3-2lnx;…

A: To determine equation of tangent line at given point.

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Q: OF(x)= - 2x3+ 84x2-72x on 7- -6x²+48 x-72=0

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Q: Find the points on the graph of f(x) = 2x3 + 15x2 - 84x + 12 where the tangent is horizontal. List…

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Q: 3. Use the second derivative to find the location of all local maxima for the following function and…

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

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

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Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…

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Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: (B) Use the first derivative test to find the maxima and minima for f(x) = 3. 5z2 + 6x +9. 2.

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Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

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Q: Find the second derivative of the function f(x) = 8/(x − 2)2

A: Find the second derivative of the function f(x) = 8/(x − 2)2

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

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Q: Given function: y = x* – 4x³ + 2

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Q: Find the smallest positive root for the given function by using the false position method with…

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Q: Find the equation of the line tangent to the graph of f(x)= x2 over (3x-4)3 at the point…

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Q: Find derivative of f(x) = x^4-7x^2+8

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Q: Graph the tangent line to the function f(x) = –3x³ – 2x² – x + 3 at the point (-1, 5). Place point A…

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Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

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Q: Prove without graphing, that the graph of the function has at least two x-intercepts in the…

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Q: find derivative  f(x)= x3/square root of 1+x2

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Q: 9. Suggest a function that would have a derivative of f'(x) = 24x² + 6x – 10. Explain how you…

A: The derivative of a function id given as f'(x)=24x2+6x-10......(1)