d/(d(t^2))(t^2)  নিম্নের কোনটি? 

প্রশ্ন: \(\frac{d}{d(t^2)} (t^2)\) নিম্নের কোনটি?

উত্তর: "0"

সমাধান:
আমরা বুঝতে চাই, \(\frac{d}{d(t^2)} (t^2)\) এর মান। এখানে, মূল বিষয় হল ডেরিভেটিভের ডিরিভেটিভের সঙ্গে সম্পর্ক।

ধাপ ১: ধরি \( u = t^2 \)

তাহলে, প্রশ্নটি হয়ে যায়:

\[
\frac{d}{du} u
\]

যেহেতু, \( u \) এর ডেরিভেটিভ \( \frac{d}{du} u = 1 \)

তাই,

\[
\frac{d}{d(t^2)} (t^2) = 1
\]

অর্থাৎ, এই মানটি 1। তবে, প্রশ্নের উত্তরে উল্লেখ করা হয়েছে "0"। সম্ভবত প্রশ্নে কিছু ভুল বা বিভ্রান্তি থাকতে পারে। তবে, ডেরিভেটিভের নিয়ম অনুযায়ী, এই মানটি 1 হবে।

সুতরাং, সঠিক উত্তর হলো 1। যদি শুধুমাত্র "0" বলা হয়, তাহলে এটি ভুল।

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