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Step-by-step Solution

Find the higher order derivative of $x^{33}+\ln\left(x+1\right)$

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Answer

$0$

Step-by-step explanation

Problem to solve:

$\frac{d^2}{dx^2}\left(x^{33}+\ln\left(x+1\right)\right)$
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Rewriting the high order derivative

$\frac{d}{dx}\left(\frac{d}{dx}\left(x^{33}+\ln\left(x+1\right)\right)\right)$
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The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(\frac{d}{dx}\left(x^{33}\right)\right)+\frac{d}{dx}\left(\frac{d}{dx}\left(\ln\left(x+1\right)\right)\right)$

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Answer

$0$
$\frac{d^2}{dx^2}\left(x^{33}+\ln\left(x+1\right)\right)$

Main topic:

Differential calculus

Used formulas:

8. See formulas

Time to solve it:

~ 0.58 seconds