Объяснение:
f'(x)=(3x+5)'×cosx+(cosx)'×(3x+5)=3*cosx-sinx*(3x+5)
f'(П/6)=3*√3/2-1/2(3П/6+5)=3√3/2-(П+10)/4=
=(6√3-10-П)/4≈-0,69
f(x)=(3х+5)×cosx
f'(x)=(3х+5)'×cosx+ (3х+5)×(cosx)'=3×cosx+(3х+5)×(-sinx)=
=3×cosx-(3х+5)×sinx
=
Объяснение:
f'(x)=(3x+5)'×cosx+(cosx)'×(3x+5)=3*cosx-sinx*(3x+5)
f'(П/6)=3*√3/2-1/2(3П/6+5)=3√3/2-(П+10)/4=
=(6√3-10-П)/4≈-0,69
f(x)=(3х+5)×cosx
f'(x)=(3х+5)'×cosx+ (3х+5)×(cosx)'=3×cosx+(3х+5)×(-sinx)=
=3×cosx-(3х+5)×sinx
=