Question

Questão da imagem valendo 10 pontos pra quem me ajudar

Answer 1

Boa noite  Jailson!

Solução!

$f(x)=3 x^{5}+ \frac{1}{3} x^{4} +x+2\\\\\ f'(x)=5. 3 x^{5-1}+4.\frac{1}{3}x^{4-1}+1\\\\\\ \boxed{f'(x)=15 x^{4}+\frac{4}{3}x^{3}+1}$




$f(x)= x^{2} + \frac{1}{ x^{2}}+ \sqrt{x} \\\\\\ f(x)= x^{2} + x^{-2}+ \sqrt{x} \\\\\\ f'(x)= 2x^{2-1} -2x^{-2-1}+ \frac{1}{2}(x)^{ \frac{1}{2} -1} \\\\\\ f'(x)= 2x -2x^{-3}+ \frac{1}{2}(x)^{ -\frac{1}{2}} \\\\\\ \boxed{ f'(x)= 2x - \frac{2}{ x^{3} } + \frac{1}{2 \sqrt{x} } }$

Boa noite!
Bons estudos!