Question

найти производную функции:
1) у = х^4 -1/2х + 1
2) у = sin4x + cos(x+π/3)

Answer 1

$1) \ y'=(x^4-\frac{1}{2}x+1)'=4x^3-\frac{1}{2} \\ \\ 2) \y'=(\sin{4x}+\cos{(x+\frac{\pi}{3})})'=\cos{4x}\cdot (4x)' + (-\sin{(x+\frac{\pi}{3})})\cdot (x+\frac{\pi}{3})'=\\ \\ =4\cos{4x}-\sin{(x+\frac{\pi}{3})}$