Question

Calcule a derivada do seguinte polinômio:x³-3x²-2x+5

Answer 1

$p(x) = x {}^{3} - 3x {}^{2} - 2x + 5$

$p'(x) = \frac{d}{dx} (x {}^{3} - 3x {}^{2} - 2x + 5)$

$p'(x) = \frac{d}{dx} (x {}^{3} ) + \frac{d}{dx} ( - 3x {}^{2} ) + \frac{d}{dx} ( - 2x) + \frac{d}{dx} (5)$

$p'(x) = 3x { }^{3 - 1} + ( - 3 \: . \: \frac{d}{dx} (x {}^{2} )) + ( - 2) + 0$

$p'(x) = 3x {}^{2} - 3 \: . \: 2x - 2 + 0$

$\boxed{\boxed{\boxed{p'(x) = 3x {}^{2} - 6x - 2 }}}$

att. yrz