Question

Differentiate the following →→

X = $5t^{2}$

Explanation in full details and step by step answer.

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Answer 1

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differentiation of

X = $5t^{2}$ is

$\sf\dfrac{d}{dx} (5t {}^{2} ) \\ \\ 2 \times 5t {}^{2 - 1} \\ \\ 10t$

$<u>For example :</u>$

$\tt\:differentiation \: of \: \: \\ x {}^{n} \: \: \: is \: \: nx {}^{n - 1}$

Use this rule to get the answer

Hope you got it

Answer 2

Solution:

Given x = 5t²

=> dx = (5t²)' dt

=> dx = (5×2t)dt

=> dx = (10t) dt

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