Find the relative extrema of f(x) = 3 + 70x – 7x² using both first and second derivative tests. f (x) has a relative| Choose one▼ at the point (?,?) Choose one maximum minimum

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

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Q: The second derivative test is used to distinguish between maximum and minimum points by determining…

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Q: Use a linear function to approximate the value of the ∛400 with work.

A: The formula of linear approximation is f(a)+f'(a)(x-a)

Q: Determine all maximum and minimum turning points of the function: y= 3x* + &r' -90 Find also, the…

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Q: 3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

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Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

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Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: find the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

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Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of…

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has…

Q: Find domain and range of the * function y = Vx2 – 4x

A: To find the domain and range of  y=√(x²-4x)

Q: Use Intermediate Vaule Tun to show that the functions f(x) = x^3 and g(x) = 2x + 3 intersect at at…

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Q: Describe how to use the second derivative test to find relative maximum and minimum values of a…

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Q: An arrow was shot into the air. As the arrow moved d feet horizontally from the archer, assume that…

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Q: Differentiate the function ƒ(x)=(4x+3/5x−2​)^3.

A: fivenf(x)=(4x+35x-2)3 diffrentiate by division rulef'(x)=3(4x+35x-2)3-1((5x-2)4-(4x+3)5(5x-2)2)

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

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