# Step-by-step Solution

## Find the higher order derivative of 2x*y^2

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## Step-by-step explanation

Problem to solve:

$\frac{d^2}{dx^2}\left(2xy^2\right)$
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Rewriting the high order derivative

$\frac{d}{dx}\left(\frac{d}{dx}\left(2xy^2\right)\right)$
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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

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

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$\frac{d^2}{dx^2}\left(2xy^2\right)$

### Main topic:

Differential calculus

~ 0.31 seconds