Q80.Let f(x) = x ≠0, −2. Then dxd [f −1(x)] (wherever it is defined) is equal to: x2+2x (1) −1 (2) 3 (1−x)2 (1−x)2 (3) 1 (4) −3 (1−x)2 (1−x)2
What This Question Tests
The problem involves finding the inverse of a rational function and then applying the quotient rule to differentiate the inverse function.
Concepts Tested
Formulas Used
d/dx(u/v) = (u'v - uv')/v^2
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
📋 Question Details
- Chapter
- Differentiation
- Topic
- Differentiation of inverse functions
- Year
- 2013
- Shift
- 09 Apr Online
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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