Find the Interval webassinn. on which fls concave down. (Enter your answer using

Question

Find the Interval webassinn. on which fls concave down. (Enter your answer using interval notation. Need Help? 6. O o/2 points I Previous Answers scalo8 33015. Find the local maximum and minimum values of fusing both the First and Second Derivative Tests. f(x) 2 12x2 8x3 local maximum value local minimum value Need Help? L Read Talk to a Tutor Submit Answer Save Progress Practice Another Version O 212 points I Previous Answers scalo8 33,019.Mi. suppose f is continuous on (-00, 00). (a) If f 13) o and f "(3) -1, what can you say about f o At x 3, f a local has maximum. At x 3, has a local minimum. At x 3, f has neither a maximum nor a minimum. More information is needed to determine if f has a maximum or minimum at x- (b) 1 r ra) o and f "(4) o, what can you say about f ocal max

Explanation / Answer

given f(x) = 2+12x^2-8x^3

f'(x)=24x - 24x^2

f"(x) = 24-48x

for critical points make f'(x) = 0,

24x - 24x^2 =0

24x(1-x)=0

x = 0 and x= 1 are critical points

now f"(0) = 24>0 local minima

f"(1) = -24<0 local maxima

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