The graph of a twice-differentiable function f is shown in the figure below. Which of the following is true? f "(1) < f'(1)< f(1) b. f"(1)< f(1) < f'(1) c. f(1)< f'(1)

the graph of ƒ' is given. Assume that ƒ(0) = 1 and sketch a possible continuous graph of ƒ.

Let f be a differentiable function. We are given the following values of f and f': x|ƒ(x) | ƒ'(x) 7 Consider the functions g, h, k defined by Find the following values: a) g' (4) = b) h' (4) = c) k'(4) = g(x) h(x) k(x) 4 16 36 = = = 36 2 3 -3 4 f(x²) fof(x) 3(f(x))³ — 1(ƒ(x))²

Suppose the derivative of a function f is Then f(x) is decreasing on the following interval: 0 (-∞0, 2) (-1,2) (2,4) O, O (2,00) ƒ'(x) = (x − 4) (x + 1)²(x − 2) ³. ܙܝ

VI – 7 Find f'(x). VI + 7 Let f(x) = f'(x) = Find f'(1). f'(1) =|

The graph of the derivative of f' of a continuous function f is given in Figure 1. y = f'(x) 2- 2 /4 6. |-2 Figure 1 a) On what intervals is f increasing and on what intervals is f decreasing? b) At what value of x does f have a local maximum, and local minimum? c) On what intervals is f concave upward and concave downward? d) State the x-coordinates of the point(s) of inflection.

* The tangent line to y = f(x) at (-4, 10) passes through the point (-5,-10). Compute the following. a.) f(-4) =| 10 b.) f'(-4)

help me