Question

Найдите производную ф-ии.
а)f(x)=-sin2x-cos2x
б)f (x)=x^2+2cosx
г)f (x)=x^3-tg4x
д)f (x)=2ctg3x+0,5x^4

2 задание.Найдите производную ф-ии:
а)f (x)=x/sinx
б)f (x)=cosx/x
в)f (x)=x tg x
г)f (x)=x ctg x

Answer 1

А) = -2cos2x+2sin2x
б) = 2x-2sinx
г) = 3x^2 - $\frac{4}{cos^2(4x)}$
д) =  $- \frac{6}{sin^2(3x)}$+2x^3

2 задание
а) = $\frac{sin(x)-x*cos(x)}{sin^2(x)}$
б) = $\frac{-x*sin(x)-cos(x)}{x^2}$
в) = $tg(x) + \frac{x}{cos^2(x)}$
г) = $ctg(x)- \frac{x}{sin^2(x)}$