What is expand ((10+2x) d/(dt)((x)10))/(7+x) ?

The solution to expand ((10+2x) d/(dt)((x)10))/(7+x) is (10 d/(dt)(10x)+2x d/(dt)(10x))/(7+x)

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expand ((10+2x) d/(dt)((x)10))/(7+x)

expand

\frac{( 10 + 2 x ) \frac{d}{d t} ( ( x ) 10 )}{7 + x}

\frac{10 \frac{d}{d t} ( 10 x ) + 2 x \frac{d}{d t} ( 10 x )}{7 + x}

Solution steps

\frac{( 10 + 2 x ) \frac{d}{d t} ( ( x ) \cdot 10 )}{7 + x}

Remove parentheses:

(a) = a

= \frac{( 10 + 2 x ) \frac{d}{d t} ( x \cdot 10 )}{7 + x}

Expand

(10 + 2 x) \frac{d}{d t} (x \cdot 10) : 10 \frac{d}{d t} (10 x) + 2 x \frac{d}{d t} (10 x)

= \frac{10 \frac{d}{d t} ( 10 x ) + 2 x \frac{d}{d t} ( 10 x )}{7 + x}

- 9 (2) - 1

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\frac{500 π ^{2} - 500}{2 ( π ^{2} - 2 )}

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What is expand ((10+2x) d/(dt)((x)10))/(7+x) ?
The solution to expand ((10+2x) d/(dt)((x)10))/(7+x) is (10 d/(dt)(10x)+2x d/(dt)(10x))/(7+x)