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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(t)=t2−5t−1t3f(t)=\frac{t^2-5 t-1}{t^3} then f′(1a)f^{\prime}\left(\frac{1}{a}\right) is given by
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Correct option: B
3a4+10a3−a23 a^4+10 a^3-a^2
Option B (3a4+10a3−a23 a^4+10 a^3-a^2) is correct because it is the result of correctly differentiating the function and substituting t=1at = \frac{1}{a}.

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