Differentiate: tcos(t^2) ?

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Differentiate: tcos(t^2) ?

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Answer 1 · 2018-05-11T04:49:27

$cos (t^{2}) - 2 t^{2} sin (t^{2})$ $cos(t^2)-2t^2 sin(t^2)$

Explanation:

Use the product rule and chin rule :

$\frac{d}{d t} (t cos (t^{2})) = (\frac{d}{d t} t) \times cos (t^{2}) + t \times \frac{d}{d t} (cos (t^{2}))$ $d/dt (t cos(t^2)) = (d/dt t)times cos(t^2) + t times d/dt (cos(t^2))$
$qquad = 1 times cos(t^2) + t times (-sin(t^2)) times (d/dt t^2)$
$qquad = cos(t^2)-2t^2 sin(t^2)$

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Differentiate: tcos(t^2) ?

1 Answer

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