Question

Calcule a derivada da função y = x³ + (4/3)x²-5x + 1

Answer 1

$f(x) = x^3+ \frac{4}{3} x^2-5x+1 \\ \\ \frac{d}{dx} [f(x)]= 3x^{3-1} +2( \frac{4}{3}) x^{2-1} -5 x^{1-1} +0 \\ \\ \frac{d}{dx} [f(x)]=3x^2+ \frac{8}{3} x-5$