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Differential Calculus
JEE Mathematics • 10 questions • Free on ExamBattle
Practice Questions
Q1
The derivative of xⁿ with respect to x is:
- A. xⁿ⁻¹
- B. nxⁿ⁻¹
- C. nxⁿ
- D. (n-1)xⁿ⁻²
Q2
The derivative of sin(x) is:
- A. -cos(x)
- B. cos(x)
- C. sin(x)
- D. -sin(x)
Q3
If y = eˣ, then dy/dx is:
- A. x·eˣ⁻¹
- B. eˣ
- C. 1/eˣ
- D. eˣ⁺¹
Q4
Using product rule, d/dx(uv) equals:
- A. u'v + uv'
- B. u'v'
- C. u'v - uv'
- D. (u + v)'
Q5
The quotient rule states d/dx(u/v) = ?
- A. (u'v - uv')/v²
- B. (u'v + uv')/v²
- C. u'/v'
- D. (u' - v')/v²
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