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:

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