Question
If f ( x )= 1+ ^2 ( x ^2 ) , then the value of f^ ( 2 )
BITSAT
Mathematics
Differentiation
2023
BITSAT 2023 (Memory Based Paper 2)
BITSAT Mathematics Question (2023) — Solution
Options
- A. 6
- B. - 6
- C. 1 6
- D. 6
Answer
B. - 6
Step-by-step solution
On differentiating (i) w.r.t.x, we get f^ (x)= -2 x^2 x^2 1+ ^2 x^2 (x) Put, x= 2 in (ii), we get aligned & f ^ ( 2 )=- 2 2 ( 4 ) 1+ 1 2 \\ & =- 2 2 3 2 =- 6 aligned
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