NDA · Mathematics · UPSC · 2021

Differentiation — NDA Mathematics PYQs

3 questions from this chapter, asked in 1 NDA exams between 2021.

3questions

1NDA exams

2021years covered

2mark values asked

Questions asked per year

20213 Qs

Practice questions

Q120212 marks

Answer Logic

If
$y = (1 + x) (1 + x^{2}) (1 + x^{4}) (1 + x^{8}) (1 + x^{16})$
then what is $\frac{d y}{d x}$ at $x = 0$ equal to?

Q220212 marks

Answer Logic

If $y = cos x \cdot cos 4 x \cdot cos 8 x$ , then what is $\frac{1}{y} \frac{d y}{d x}$ at $x = \frac{π}{4}$ equal to?

Q320212 marks

Answer Logic

Let $f (x)$ be a polynomial function such that $f \circ f (x) = x^{4}$ . What is $f^{'} (1)$ equal to?

Why practise Differentiation PYQs?

Differentiation has appeared in the 1 NDA Mathematics exam we track between 2021, with questions worth 2 marks. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Questions asked per year

Practice questions

Why practise Differentiation PYQs?

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