Question

найдите производную функции f(x)=1/3 x^3+2x^4​

Answer 1

Ответ:

$f(x) = \frac{1}{3} x {}^{3} + 2x {}^{4}$

$f(x) = \frac{d}{dx} ( \frac{1}{3} x {}^{3} + 2x { {}^{4} }^{} )$

$f(x) = \frac{d}{dx} ( \frac{1}{3} x {}^{3} ) + \frac{d}{dx} (2x {}^{4} )$

$f(x) = \frac{1}{3} \times 3x {}^{2} + 2 \times 4x {}^{3}$

$f(x) = x {}^{2} + 8x {}^{3}$