Question

Calcule a derivada da função:

Answer 1

Resposta:

f'(x)=5*x^(-4) +x^(2/3) -3x² +12x

f'(x) =5*(-4)*x^(-5) +(2/3)*x^(2/3-1) -6x+12

f'(x) =-20*x^(-5) +(2/3)*x^(-1/3) -6x+12

Answer 2

Resposta:

$f'(x)=-20x^-^5+\frac{2}{3} x^{-\frac{1}{3} } -6x+12$

Explicação passo-a-passo:

$f(x)=5x^-^4+x^{\frac{2}{3} } -3x^2+12x\\\\f'(x)=-4.5x^-^4^-^1+\frac{2}{3} x^{\frac{2}{3}^-^1 } -3.2x^2^-^1 + 12\\\\f'(x)=-20x^-^5+\frac{2}{3} x^{-\frac{1}{3} }-6x+12$