Question

differensiate wrt to t:

$52 {t}^{2}$
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Answer 1

Differentiate using Power rule we know that

$\frac{d}{dx} ( {x}^{n} ) = nx ^{(n - 1)} \\ \\ \\ so \\ \\ \\ d \\ \frac{d}{dt} = 52 {x}^{2} = 2 \times 52x = 104x$

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Answer 2

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Differentiation with repect to t :

= 52t^2

= d(52^2)/dt

Using formula dx^2/dx

= 2 × 52 × t

= 504t