Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Continuity & Differentiability

Consider f(x) = \(\begin{cases}7 x^2+5 x+3 & ; x<0 \\ 7 x^2+5 x & ; x \geq 0\end{cases}\) Which of the following is true ?

1
f'''(0) = 0
2
f'''(x) = 0, ∀ x ∈ ℝ / {0}
3
f''(0) = 14
4
All of these
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