Question

aplique a regra da potência para encontrar a derivada da função f(x) = $x^{4}$ em cada caso abaixo:
a - f' (x)

b - f' ( $\frac{1}{2}$)

Answer 1

Bom dia Jailson!

Solução!

$A)~~~~~\\\\\ f(x)= x^{4}\\\\\\ f'(x)=4 x^{4-1}\\\\\\ \boxed{Resposta:f'(x)=4 x^{3}}$


$B)\\\\\\\ f'(x)=4 x^{3}}\\\\ f'\left ( \frac{1}{2} \right )=4 x^{3}}\\\\\\\ f'\left ( \frac{1}{2} \right )=4 \left ( \frac{1}{2} \right )^{3}}\\\\\\\ f'\left ( \frac{1}{2} \right )=4 \left ( \frac{1}{8} \right )}\\\\\\\ f'\left ( \frac{1}{2} \right )=\frac{4}{8}\\\\\\\ Simplificando ~~por~~4!\\\\\\\ \boxed{Resposta:f'\left ( \frac{1}{2} \right )=\frac{1}{2}}$




Bom dia!
Bons estudos!

Answer 2

Resposta:

Explicação passo a passo:

R. 1/2