Answer
$a)$ = $0$
$b)$ = $0$
Work Step by Step
$a)$
$f'(x)$ = $5$
$f''(x)$ = $0$
$f''(3)$ = $0$
$f''(5)$ = $0$
$max|f''(x)|$ = $0$
$\frac{(b-a)^{3}}{12n^{2}}$$max|f''(x)|$ = $\frac{(2)^{3}(0)}{12(4)^{2}}$
= $0$
$b)$
$f^{3}(x)$ = $0$
$f^{4}(x)$ = $0$
$f^{4}(3)$ = $0$
$f^{4}(5)$ = $0$
$max|f^{4}(x)|$ = $0$
$\frac{(b-a)^{5}}{180n^{4}}$$max|f^{4}(x)|$ = $\frac{2^{5}(0)}{180(4)^{4}}$
= = $0$
