y=f'(x) 1 8 The function f is defined on the closed interval [0,8]. The graph of its derivative f' is shown above. How many relative minima are there for f(x)? O 2 6 4 00

The question is in the picture below.

The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive? Give your answer in interval notation. Provide your answer below: f'(x) is positive over -6 -5 -4 -3 -2 1 8 7 6 5 4 3 2 1 0 -2 S -3 -5 -6 Y A -7 2 3 4 5 6 7 8 x

Suppose that the second derivative of a function f is f"(x) = -(x+1)³ (x– 1)²(x – 4)°. Determine the intervals of concavity, and the x-values of any inflection points. Upload Choose a File

Do not use technology. The figure below shows the graph of f', the derivative of f. The function f is a twice differentiable function on x E (-∞o, co), f'(-0.8) = 0, and f"(1.3) = 0. -3 (a) For what values of x is f increasing? (Enter your answer using interval notation.) (b) For what values of x is the graph of f concave downward? (Enter your answer using interval notation.)