defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Calculus Differentiability
Let f : R → R be defined as
\(\rm f(x) = \left\{\begin{matrix} \rm \frac{a-bcos2x}{x^2}; & \rm x < 0 \\[0.3em] \rm x^2+cx+2; & \rm 0 \leq x \leq 1 \\[0.3em] \rm 2x + 1; & \rm x > 1 \end{matrix}\right.\)
If f is continuous everywhere in R and m is the number of points where f is NOT differential then m + a + b + c equals :
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