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Step-by-step Solution

Find the derivative using the product rule (d/dx)(x(x^2+1))

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Answer

$3x^{2}+1$

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(x\cdot \left(x^2+1\right)\right)$
1

Solve the product $x\left(x^2+1\right)$

$\frac{d}{dx}\left(x^{3}+x\right)$
2

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(x^{3}\right)+\frac{d}{dx}\left(x\right)$

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Answer

$3x^{2}+1$
$\frac{d}{dx}\left(x\cdot \left(x^2+1\right)\right)$

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

~ 1.11 seconds

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