3. The graph of the derivative of a function f is shown. 100아 50 14 -3 1 2 -50 -100아 y = f'(x) a) What are the critical numbers of f? d) Determine if each critical number is a local maximum, a local minimum, or neither.

Q: [6] Use the algebraic test to determine if these functions are odd, even, or neither. [Odd: f(-x) =…

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Q: Graph of f" +x 8. The graph of f", the second derivative of the function f, is shown above. Which of…

A: Step 1:Step 2:Step 3: Step 4:

Q: 1) A microorganism is observed to double its population every 3 weeks. Supposed that there were 10…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: 13) Graph if f(x) = x when x = -1,2,4, or 8; f'(x) = 0 if x = -1,2,4, or 8; f'(x) 0 throughout…

A: Given: 1. fx=x when x=-1,2,4,8.            2. f'x=0 when x=-1,2,4,8.            3. f'x<0 for…

Q: If f is one-to-one and f( – 3) = 12, then f-'(12) and (f( – 3))¯

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Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: Suppose f and g are one-to-one functions such that f(2) = 7, f(4) = 2, and g(2) = 5. Find the value,…

A: We have given functions f and g are one-to-one. Then, a. gof-17=gf-17=g2=5 b. fog-15=fg-15=f2=7

Q: Graph of f" +x 8. The graph of f", the second derivative of the function f, is shown above. Which of…

A: Step 1:On the interval where f"x<0   the function  should be concave down   and  on  the…

Q: 12 f (x)

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Q: Please check 4-5.

A: Given function is   1.  g(x)=8x3+84x2+288x     then   g'(x)=24x2+168x+2882.  g''(x)=48x+1683.…

Q: 6. a) What does it mean if the derivative of a function is always positive? b) Write an equation of…

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Q: In a sentence or two, explain how to find the x coordinates of critical points of a function f if…

A: We have to  explain how to find the x coordinates of critical points of a function f if we have…