What is expand 700*derivative of (1+0.1*t^2dt) ?

The solution to expand 700*derivative of (1+0.1*t^2dt) is 700 derivative of td+0.2t^2d+0.01t^3d

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expand 700derivative of (1+0.1t^2dt)

expand

700 \cdot \frac{d}{d x} ((1 + 0.1 \cdot t)^{2} d t)

700 \frac{d}{d x} (t d + 0.2 t^{2} d + 0.01 t^{3} d)

Solution steps

700 \frac{d}{d x} ((1 + 0.1 t)^{2} d t)

(1 + 0.1 t)^{2} = 1 + 0.2 t + 0.01 t^{2}

= 700 \frac{d}{d x} (t d (0.01 t^{2} + 0.2 t + 1))

Expand

(1 + 0.2 t + 0.01 t^{2}) d t : t d + 0.2 t^{2} d + 0.01 t^{3} d

= 700 \frac{d}{d x} (0.01 t^{3} d + 0.2 t^{2} d + t d)

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

\frac{d}{d x} ((z) (x^{2} + 2 y^{2} + 3 z^{2} - 1))

(3 + x) x^{2} e^{7 x}

x^{\frac{2}{5}} (y^{\frac{1}{2}} + 2 x^{\frac{6}{5}})^{6}

\frac{( x ^{2} + x - 125 ) ( x - 5 )}{( x + 4 ) ( x ^{2} - 9 )}

What is expand 700*derivative of (1+0.1*t^2dt) ?
The solution to expand 700*derivative of (1+0.1*t^2dt) is 700 derivative of td+0.2t^2d+0.01t^3d