f(x) is concave down on the interval (a, b) if f'(x) is decreasing on True False (a, b).

Express the deriviative (f (5z- 2)) in terms of f'. dr a) O f' (5x² – 2) b) O f' (10x) c) O 10r d) O 10x f (5a² - 2) f'(x) e) O 10z f' (5a- 2)

If f"(x) > 0, what else is true? Explain. a. f'(x) is increasing, Ax) is concave up b. f"(x) is decreasing, (x) is concave up c. f'(x) is increasing, f(x) is concave down d. f'(x) is decreasing, (x) is concave down

Let f(x) 7x2 + 5x 8 Evaluate f'(x) at a f'(1)) =| 1.

Let F(x) = f(x³) and G(x) = (ƒ(x))⁹ . You also know that a³ = 2, f(a) = 2, ƒ'(a) = 5, and fƒ'(aº) = 9. Find F'(a): and G'(a) = - = ← ID

Let f(x) = f'(x) = f'(9) = 4log7 (x)