Question

Вычислить производную: 1-f(x)=3x^4-5x^2
2-f(x)=3cosx-sinx
3-f(x)=cosx+1/sin^2x
4-f(x)=cos(x+pi/3)
5-f(x)=(3x-12)^4

Answer 1

Пошаговое объяснение:

${f}^{.} (x) = 12 {x}^{3} - 10x \ {f}^{.} (x) = - 3 sin(x) - cos(x) \ {f}^{.} (x) = - sin(x) - frac{2 cos(x) }{ {sin}^{3} (x) } \ {f}^{.} (x) = - sin(x + frac{pi}{3} ) \ {f}^{.} (x) = 12 {(3x - 12)}^{3}$