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

Find the higher order derivative of 3/2(1+x/3)^3

Answer

$\frac{x}{3}+1$

Step-by-step explanation

Problem

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

Rewriting the high order derivative

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

Unlock this step-by-step solution!

Answer

$\frac{x}{3}+1$

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

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 1.35 seconds