AP EAMCET202317 May 2023Evening ShiftMathematicsDifferentiationActual
If f(t)= t 2 + 1 4 (2 t-1) , then f^ ( t+1 2 t+1 )=
Options
- At
- B1+t
- C2 t+1
- Dt -1
Correct answer
B. 1+t
Step-by-step solution
f(t)= t 2 + 1 4 (2 t-1) aligned & f^ (t)= 1 2 + 1 2(2 t-1) & f^ ( t+1 2 t+1 )= 1 2 + 1 2 ( 2 t+2 2 t+1 -1 ) = 1 2 [1+ 2 t+1 1 ] & = 1 2 [1+2 t+1]=t+1 aligned