ccd.instructure.com/courses/110 80% 11 a search Redeen Due in 2 hours, 12 minute

Question

ccd.instructure.com/courses/110 80% 11 a search Redeen Due in 2 hours, 12 minutes. Due Wed 03/21/20 Let J(x)982 6 (a) Use the definition of a derivative or the derivative rules to find f(a)-E (b) Use the definition of a derivative or the derivative rules to find f (a) (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing (e) On what interval is fconcave downward (include the endpoints in the interval)? 0] Preview Preview Preview 10) 101 20 Preview interval of concave down - Preview (f) On what interval is f concave upward (include the endpoints in the interval)? Preview interval of concave up Get help: Video ion;skip&to-8; 948 3/21

Explanation / Answer

a)

Find derivative using power rule as

f'(x) = (x/3)(2x² -98)

b)

Find derivative again using power rule as

f"(x) = 2x² -(98/3)

c)

Increasing on

[-7,0]U[7,)

d)

decreasing on

(-,-7]U[0,7]

e)

Concave downward on

[-7/3 , 7/3]

f)

Concave upward on

(-, -7/3] U[7/3 , )

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