Question

Вычислите производную функции y=x^3*sinx в точке x0=pi

Answer 1

Решение
y = x³ * sinx
y` = 3x² * sinx + x³ * cosx
y(π/2) = 3*(π/2)² * sin(π/2) + (π/2)³ * cos(π/2) = 3π²/4 * 1 = π³ / 8 * 0 = 
= 3π² / 4

Answer 2

y(π/2) = 3*(π/2)² * sin(π/2) + (π/2)³ * cos(π/2) =
= 3π²/4 * 1 + π³ / 8 * 0 = 3π² / 4