Question

Y=(x^2)(x^2+4) знайти похідну​

Answer 1

Ответ:

Ответь на фотке........

Answer 2

Let's find the derivative of $Y = x^2 (x^2 + 4)$. To do this, we'll use the product rule. The product rule states that if you have two functions $u(x)$ and $v(x)$, then the derivative of their product is given by:

$(uv)' = u'v + uv'$

In our case, let $u(x) = x^2$ and $v(x) = (x^2 + 4)$.

The derivatives are:

$u'(x) = 2x$ $v'(x) = 2x$

Now, applying the product rule:

$Y' = u'v + uv'$ $Y' = (2x)(x^2 + 4) + (x^2)(2x)$

Simplifying this expression will give you the derivative of $Y$.