Q79.If g is the inverse of a function f and f ′(x) = 1 , then g′(x) is equal to 1+x5 (1) 1 (2) 1 + {g(x)}5 1+{g(x)}5 (3) 1 + x5 (4) 5x4
What This Question Tests
This question is a direct application of the formula for the derivative of an inverse function, requiring basic knowledge of differentiation rules.
Concepts Tested
Formulas Used
g'(x) = 1 / f'(g(x))
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Differentiation
- Topic
- Derivative of inverse functions
- Year
- 2014
- Shift
- 06 Apr
- Q Number
- Q79
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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