Q64.The derivative of tan−1( √1+x2−1x ) with respect to tan−1( 2x√1−x21−2x2 ) (1) 2√3 (2) √3 5 12 (3) 2√3 (4) √3 3 10
What This Question Tests
This question tests the ability to simplify inverse trigonometric functions using appropriate substitutions and then find the derivative of one function with respect to another, which simplifies to a constant.
Concepts Tested
Formulas Used
d/dx (tan⁻¹x) = 1/(1+x²)
d/dx (sin⁻¹x) = 1/√(1-x²)
d/dx (f(x) with respect to g(x)) = f'(x)/g'(x)
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📋 Question Details
- Chapter
- Differentiation
- Topic
- Derivative of Inverse Trigonometric Functions
- Year
- 2020
- Shift
- 05 Sep Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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