AP EAMCET · Maths · Differentiation
If \(f(x)=\left(x^2-1\right)^7\), then \(f^{(14)}(x)\) is equal to
- A \(0\)
- B \(2 !\)
- C \(7 !\)
- D \(14 !\)
Answer & Solution
Correct Answer
(D) \(14 !\)
Step-by-step Solution
Detailed explanation
Given, \(f(x)=\left(x^2-1\right)^7\) When we expand above expansion it will give one term of \(x^{14}\) whose coefficient is 1 . \(\therefore \quad f^{14}(x)=14 !\)
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