Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.)(a) f ' (-3) (b) f ' (-2) (c) f ' (-1) (d) f ' (0) (e) f ' (1) (f) f ' (2) (g) f ' (3)

Use the given graph to estimate the value of each derivative.(a)f '(0) (b)f '(1) (c)f '(2) (d)f '(3) (e)f '(4) (f)f '(5)

The graph of a function f is given below.(a) State the value of f(−3).f(−3) = (No Response)(b) Estimate the value of f(2).f(2) = (No Response)(c) For what values of x is f(x) = 2? (Enter your answers as a comma-separated list.)x = (No Response)(d) Estimate the values of x such that f(x) = 0. (Enter your answers as a comma-separated list.)x = (No Response)(e) State the domain and range of f. (Enter your answer using interval notation.)domain     (No Response)range     (No Response)

Let k(x) = f(x)g(x). Use the graphs above to find the following derivatives.k '(1) = k '(3) =

Find all values c in (−1, 1) such that f '(c) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)c =

The first derivative of the function f is defined by f'(x) = (x2 +1)sin(3x - 1) for -1.5 < x < 1.5. On which of the following intervals is the graph of f concave up?Responses(−1.5, −1.341) and (−0.240, 0.964)(−1.5, −1.341) and (−0.240, 0.964)(−1.341, −0.240) and (0.964, 1.5)(−1.341, −0.240) and (0.964, 1.5)(−0.714, 0.333) and (1.381, 1.5)(−0.714, 0.333) and (1.381, 1.5)(−1.5, −0.714) and (0.333, 1.381)