The function f(x) = 1 - x^3 - x^5 is decreasing for - Vidyadip

MCQ

The function $f(x) = 1 - {x^3} - {x^5}$ is decreasing for

A
$1 \le x \le 5$
B
$x \le 1$
C
$x \ge 1$
✓
All values of $x$

✓

Answer

Correct option: D.

All values of $x$

d
(d) $f(x) = 1 - {x^3} - {x^5}$ ==> $f'(x) = - 3{x^2} - 5{x^4}$

$\therefore$ $f'(x) < 0$ for all values of $x.$

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