Question

score on last try: 0.5 of 1 pts. see details for more. at least one scored part is incorrect. jump to first changable incorrect part. next question get a similar question you can retry this question below the function ( f(x) = 2x^3 - 30x^2 + 144x + 11 ) has one local minimum and one local maximum. use a graph of the function to estimate these local extrema. this function has a local minimum at ( x = 6 ) with output value: (square) and a local maximum at ( x = 4 ) with output value: (square) question help: video submit question

Explanation:

Answer:

with output value (local minimum): \( 2(6)^3 - 30(6)^2 + 144(6) + 11 = 2\times216 - 30\times36 + 864 + 11 = 432 - 1080 + 864 + 11 = 227 \)
with output value (local maximum): \( 2(4)^3 - 30(4)^2 + 144(4) + 11 = 2\times64 - 30\times16 + 576 + 11 = 128 - 480 + 576 + 11 = 235 \)

So:
with output value (local minimum): \( 227 \)
with output value (local maximum): \( 235 \)