What is expand Dx[(1+x^2)(1+2x^2)] ?

The solution to expand Dx[(1+x^2)(1+2x^2)] is Dx+3Dx^3+2Dx^5

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expand Dx[(1+x^2)(1+2x^2)]

expand

D x [(1 + x^{2}) (1 + 2 x^{2})]

D x + 3 D x^{3} + 2 D x^{5}

Solution steps

D x ((1 + x^{2}) (1 + 2 x^{2}))

Remove parentheses:

(a) = a

= D x (1 + x^{2}) (1 + 2 x^{2})

Expand

(1 + x^{2}) (1 + 2 x^{2}) : 1 + 3 x^{2} + 2 x^{4}

= D x (1 + 3 x^{2} + 2 x^{4})

Expand

D x (1 + 3 x^{2} + 2 x^{4}) : D x + 3 D x^{3} + 2 D x^{5}

= D x + 3 D x^{3} + 2 D x^{5}

x (800 - \frac{x}{6})

\frac{( 0.2 + x ) ( 0.2 + 2 x ) ^{2}}{( 0.2 - 2 x ) ^{2}}

- (\frac{- s ^{2} + 1}{( s ^{2} + 1 ) ^{2}})

\frac{( ln ( x ) ) ^{2} - 2}{x}

- \frac{2 s + 9}{( s + 5 ) ( s + 2 )}

What is expand Dx[(1+x^2)(1+2x^2)] ?
The solution to expand Dx[(1+x^2)(1+2x^2)] is Dx+3Dx^3+2Dx^5