Ответ во вложении Если ответ не подходит, я могу решить другим способом. <span>f(x)=<span>x4</span>−6⋅<span>x2</span>+7</span> Решение.
<span><span> f′</span>(x)=<span><span>(<span>x4</span>−6⋅<span>x2</span>+7)</span>′</span>=</span><span><span><span>(<span>x4</span>−6⋅<span>x2</span>)</span>′</span>=</span><span><span><span>(<span>x4</span>)</span>′</span>−<span><span>(6⋅<span>x2</span>)</span>′</span>=</span><span>4⋅<span>x3</span>−6⋅<span><span>(<span>x2</span>)</span>′</span>=</span><span>4⋅<span>x3</span>−12⋅x</span> Ответ:
<span><span>f′</span>(x)=4⋅<span>x3</span>−12⋅<span>x</span></span>