Question

Derivative of x^2(1+x^3)

Answer 1

Answer:

The derivative is   $x(2+5x^3)$.

Step-by-step explanation:

Given the expression $x^2(1+x^3)$

We can expand the expression,

$x^2+x^5$

We know that,

$\frac{d}{dx}x^n=nx^{n-1}$

Now we can take the derivative with respect to $x$.

$\dfrac{d}{dx}(x^2+x^5 )=\dfrac{d}{dx}(x^2) +\dfrac{d}{dx}(x^5 )\\ \\=2x+5x^4 = x(2+5x^3)$

So the derivative is   $x(2+5x^3)$.

Answer 2

Refer the given attachment