Can You Solve This JEE Advanced Derivative Problem? d¹⁰/dx¹⁰ (x²−1)¹⁰ #jee
calculusphile
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Can You Solve This JEE Advanced Derivative Problem? d¹⁰/dx¹⁰ (x²−1)¹⁰ #jee
866 просмотров · 11 дн. назад
calculusphile
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866 просмотров · 11 дн. назад
A JEE Advanced problem on higher-order derivatives: f(x) = d¹⁰/dx¹⁰ (x² − 1)¹⁰.
Four statements — which are true? We expand with the binomial theorem, apply the
general power rule, and use Leibniz's rule to find f(1) + f(−1).
Answer: (A), (B), (C)
0:00 The problem
0:15 Higher-order derivatives
0:47 The general power rule
1:06 Step 1 – Expand (x² − 1)¹⁰
1:36 Step 2 – The 10th derivative
2:28 Statement (C) – the degree
2:56 Statement (A) – coefficient of x⁸
3:17 Statement (D) – the constant term
3:45 Statement (B) – f(1) + f(−1)
4:11 Leibniz's rule
5:08 The answer
#JEEAdvanced #Calculus #JEEMaths