1 f(x)=sin x -cos x 2 f(x)=tg x-4 ctg x 3 f(x)=4x-sinx 4 f(x)=6 cos...

Question

1 f(x)=sin x -cos x

2 f(x)=tg x-4 ctg x

3 f(x)=4x-sinx

4 f(x)=6 cos x-1,2x

Вычислите производные функций y=f(x)

Answer 1

1. f(x)=sinx-cosx
f'(x)=cosx+sinx

2. f(x)=tgx-4ctgx
f'(x)=1/cos²x+4/sin²x

3. f(x)=4x-sinx
f'(x)=4-cosx

4. f(x)=6cosx-1,2x
f'(x)=-6sinx-1,2