Question
f(x)= \ array cc 4 & - x - 5 \\ x^2-1 & - 5 x 5 \\ 4 & 5 x array . If k is the number of points where f(x) is not differentiable then k-2=
BITSAT
Mathematics
Continuity and Differentiability
2024
BITSAT 2024 (Memory Based Paper 1)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 2
- B. 1
- C. 0
- D. 3
Answer
C. 0
Step-by-step solution
Here f(x) is continous x R Now At x=- 5 L.H.D = 0 R.H.D =2 x=-2 5 f ( x ) is not differentiable at x =- 5 At x= 5 L.H.D. =2 x=2 5 R.H.D. =0 f ( x ) is not differentiable at x = 5 k =2 k-2=2-2=0
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