28. For each function, sketch the graph of y = f(x) and find an expression for f'(x). Indicate any points at which f'(x) does not exist. s x?,x < 3 a. s1) = {« + b. f(x) = |3x² 6| c. f(x) = ||x| – 1| lx + 6, x > 3

Q: Let f(x) = 5x8 5x5 - 7x³ + 4x, find f'(x). Answer: Find f'(2). Answer:

A: Given query is to find indicated derivative.

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A: GIVEN FUNCTION  IS f(x)=4x3-24x2-60x   Now first order derivative be f'(x)=12x2-48x-60=0 Solution a:…

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

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A: We first find the 1st and 2nd derivatives.

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A:

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A:

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A:

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: Determine for what x values the function f(x)=x^2-3x+2/x^2-1 is discontinuous

A: Function is discontinuous at that point where denominator of the function  not define

Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

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

A:

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) &gt; 0

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: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

A: