Question

помогите решить пжшка много балов
f(x)=3x^4-5x^2
f(x)=3cosx-sinx
f(x)=cosx+1/sin^2x
f(x)=1/x-2e^x
f(x)=cos(x+п/3)
f(x)=(3x-12)^4

Answer 1

1. f'(x) = 3*4x³ - 5*2x¹ = 12x³ - 10x

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

3. f'(x) = -sinx + (1/2) * sin²x = -sinx + 1/2 * 2sinx * (sinx)' = -sinx + 2sinx*cosx = -sinx + sin2x

4. f'(x) = - 1/x² - 2eˣ

5. f'(x) = -sin(x + π/3) * (x + π/3)' = -sin(x + π/3) * 1 = -six(x + π/3)

6. 4(3x - 12)³ * (3x - 12)' = 4*3(3x - 12)³ = 12(3x - 12)³