Q79.Let K be the set of all real values of x where the function f(x) = sin |x| −|x| + 2(x −π) cos |x| is not differentiable. Then the set K is equal to : (1) ϕ (an empty set) (2) (π} (3) {0} (4) {0, π}
What This Question Tests
This question tests the understanding of differentiability, particularly for functions involving the absolute value function, by checking the left and right-hand derivatives at critical points.
Concepts Tested
Formulas Used
f'(c) = lim(h->0) [f(c+h)-f(c)]/h
📚 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
- Applications of Derivatives
- Topic
- Differentiability of functions
- Year
- 2019
- Shift
- 11 Jan Shift 2
- Q Number
- Q79
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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