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

Find the derivative of x(x^2+1)

Answer

$1+3x^2$

Step-by-step explanation

Problem

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

Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x$ and $g=1+x^2$

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

Unlock this step-by-step solution!

Answer

$1+3x^2$

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

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 0.3 seconds