x^3-10x^2+21≥0=x∈(-∞, -0.89125102207686]⋃[0, 0.89125102207686)
Y=f(a)+<span>f′</span>(a)⋅(x−a<span>)
Вычисление производной :
</span><span><span>f′</span>(x)=<span><span>(<span>−<span>x^2</span>+6⋅x+8</span>)</span>′</span>=</span><span>=<span><span>(<span>−<span>x^2</span>+6⋅x</span>)</span>′</span>=</span><span>=<span><span>(<span>−<span>x^2</span></span>)</span>′</span>+<span><span>(<span>6⋅x</span>)</span>′</span>=</span><span>=−<span><span>(<span>x^2</span>)</span>′</span>+6=</span><span>=−2⋅x+6
</span>Подставим числа <span>a=−2;f(a)=−8;<span>f′</span>(a)=10</span><span> в формулу</span>
<span>y=−8+10⋅(x+2)=10x+12
ответ : y=10x+12</span>
F(0)=cos (2*0) - 3sin(0)=1
<span>f(п/2)= cos (2*п/2) - 3 sin(п/2)=-4
</span>f(п/6)= cos (2*п/6) - 3 sin(п/6)=-1
Решение задания смотри на фотографии