Determine the absolute extrema of the given function on the specified interval. Show your solution 1.) f'(x) = 5x³ - x + 6 [-1,1] 2.) f'(x) = 4x² - 7x [2,-2]

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: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

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Q: (2x + 1)3 (1- 4x)2' find f'(x) and fully simplify. If f (x) =

A: fx=2x+131-4x2f'x=ddx2x+131-4x2

Q: Find f. f"(x) = 4 + 6x + 24x², f(0) = 2, f(1) = 11 f(x)

A: Just integrating given equation twice and then find the value of integration constant with the help…

Q: The function f is defined as f(x) = {(-3x+1), -2 2 1. Find the domain and intercepts of f. Then…

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Q: Find f. f"(x) = 8 + 6x + 24x², f(0) = 5, f(1) = 15 f(x)

A: Find your answer below

Q: The curve defined by the function f(x) = ax^3 + bx^2 + 29x - 20 intersects the x-axis at three…

A: The curve defined by the function f(x) = ax^3 + bx^2 + 29x - 20 intersects the x-axis at three…

Q: Differentiate the given function. f(x)=9e9x+7 A) /'(x)-9e9x+7 C) f'(x)=8169x+7 B) f'(x)-9x9x+7 D)…

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Q: Let f(x)=2x^2−2 and let g(x)=5x+1. Find the given value. f[g(−2)]

A: Given: f(x)= 2x^2-2    g(x)= 5x+1

Q: f(x)

A: Please refer to the image below

Q: X^4+y^2=3 find the slope of the function above at (1,-sqrt2)

A: Explanation of the solution is given below....

Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

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Q: Find the slope of the line at the point x = 2 for the function f(x) = x ^ 2 * (3x - 2) 12 16 40…

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Q: Find Domain and range of f(x)=x^x and graph it.

A: The objective is to find Domain and range of f(x)=x^x and graph it.

Q: For the function f(x)= 3x^4+12x^3+13, where is f(x) increasing?

A: Solved below

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: f"(x) = 2x + 5 and f'(-2) = 4 and f(-2) = -4. Find f'(x) = x^2+5x+10 and find f(2) = 76/3

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Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Find f''(x) for the function. f(x) = 8x³ - 2x² +4 OA. 32x-4 B. 4x-32 C. 48x-4 OD. 4x-48

A: Givenf(x) = 8x³ - 2x² + 4

Q: For the function f(x) = x^2/2-x, what is f(a+h)?

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Q: Find domain and range f(x)=x^2-5x+6/x-2

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Q: Differentiate the given function. y = (9x + 4) y'=D %3D

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