Question

2. Find the absolute extrema on ($-\infty$,$\infty$) for $f(x) = \frac{x}{6} - 4x^5 + 25x^4$ In order to receive full credit, your solution must include the appropriate derivatives

          2. Find the absolute extrema on ($-\infty$,$\infty$) for
$f(x) = \frac{x}{6} - 4x^5 + 25x^4$
** In order to receive full credit, your solution must include the appropriate derivatives **

2. Find the absolute extrema on (-∞,∞) for
f(x) = (x)/(6) - 4x^5 + 25x^4
** In order to receive full credit, your solution must include the appropriate derivatives **

Added by Robert B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

08/04/2023

Step 1

f'(x) = -20x^4 + 100x^3 Set f'(x) = 0: -20x^4 + 100x^3 = 0 Factor out x^3: -20x^3(x - 5) = 0 Setting each factor to 0: -20x^3 = 0 or x - 5 = 0 x = 0 or x = 5 Show more…

Show all steps

Thanks for your feedback!

f(x)=(x)/(6)-4x^(5)+25x^(4) ** In order to receive full credit, your solution must include the appropriate derivatives ** sFind the absolute extrema on(-o,co for f(x)= -4x5+25x4 6 ** In order to receive full credit, your solution must include the appropriate derivatives *