Question

me ajudem por favor​

Answer 1

$a)f(x) = {x}^{3} - 7x + 3 \\ f'(x) = 3 {x}^{2} - 7$

$b)g(t) = 4 \\ g'(t) = 0$

$d) \: p(k) = \frac{ {k}^{4} }{2} + \frac{ {k}^{6} }{3} + k + 2 \\p '(k) = 2 {k}^{3} + 2 {k}^{5} + 1$

$c) v(m)= {m}^{8} - 3 {m}^{5}+ 7m - 9 \\ v'(m) = 8 {m}^{7} - 15 {m}^{4} + 7$

k)

$f(x) = \frac{2x + 7}{3x - 1}$

$f'(x) = \frac{2.(3x - 1) - (2x + 7).3}{ {(3x - 1)}^{2} } \\ = \frac{- 23}{ {(3x - 1)}^{2} }$